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Finding the Fourth Proportional to 17,762.42, 24,511.74 and 9,805.40

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Solution

The fourth proportional to 17,762.42, 24,511.74 and 9,805.40 is: 13,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.42 : 24,511.74 = 9,805.40 : x
  2. Step 2: Convert to fraction form
    17,762.42/24,511.74 = 9,805.40/x
  3. Step 3: Cross multiply
    17,762.42x = 24,511.74 × 9,805.40
  4. Step 4: Simplify right side
    17,762.42x = 240,347,415.40
  5. Step 5: Solve for x
    x = 240,347,415.40/17,762.42
  6. Step 6: Final answer
    x = 13,531.23

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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.