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Finding the Fourth Proportional to 17,641.16, 24,345.12 and 9,684.12

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Solution

The fourth proportional to 17,641.16, 24,345.12 and 9,684.12 is: 13,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.16 : 24,345.12 = 9,684.12 : x
  2. Step 2: Convert to fraction form
    17,641.16/24,345.12 = 9,684.12/x
  3. Step 3: Cross multiply
    17,641.16x = 24,345.12 × 9,684.12
  4. Step 4: Simplify right side
    17,641.16x = 235,761,063.49
  5. Step 5: Solve for x
    x = 235,761,063.49/17,641.16
  6. Step 6: Final answer
    x = 13,364.26

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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.