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Finding the Fourth Proportional to 17,646.22, 24,354.03 and 10,194.22

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Solution

The fourth proportional to 17,646.22, 24,354.03 and 10,194.22 is: 14,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.22 : 24,354.03 = 10,194.22 : x
  2. Step 2: Convert to fraction form
    17,646.22/24,354.03 = 10,194.22/x
  3. Step 3: Cross multiply
    17,646.22x = 24,354.03 × 10,194.22
  4. Step 4: Simplify right side
    17,646.22x = 248,270,339.71
  5. Step 5: Solve for x
    x = 248,270,339.71/17,646.22
  6. Step 6: Final answer
    x = 14,069.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.