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Finding the Fourth Proportional to 17,502.57, 24,154.14 and 9,949.22

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Solution

The fourth proportional to 17,502.57, 24,154.14 and 9,949.22 is: 13,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502.57 : 24,154.14 = 9,949.22 : x
  2. Step 2: Convert to fraction form
    17,502.57/24,154.14 = 9,949.22/x
  3. Step 3: Cross multiply
    17,502.57x = 24,154.14 × 9,949.22
  4. Step 4: Simplify right side
    17,502.57x = 240,314,732.00
  5. Step 5: Solve for x
    x = 240,314,732.00/17,502.57
  6. Step 6: Final answer
    x = 13,730.25

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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.