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Finding the Fourth Proportional to 17,755.92, 24,502.14 and 9,798.15

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Solution

The fourth proportional to 17,755.92, 24,502.14 and 9,798.15 is: 13,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.92 : 24,502.14 = 9,798.15 : x
  2. Step 2: Convert to fraction form
    17,755.92/24,502.14 = 9,798.15/x
  3. Step 3: Cross multiply
    17,755.92x = 24,502.14 × 9,798.15
  4. Step 4: Simplify right side
    17,755.92x = 240,075,643.04
  5. Step 5: Solve for x
    x = 240,075,643.04/17,755.92
  6. Step 6: Final answer
    x = 13,520.88

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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.