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Finding the Fourth Proportional to 22,798.43, 31,448.68 and 13,717.50

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Solution

The fourth proportional to 22,798.43, 31,448.68 and 13,717.50 is: 18,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.43 : 31,448.68 = 13,717.50 : x
  2. Step 2: Convert to fraction form
    22,798.43/31,448.68 = 13,717.50/x
  3. Step 3: Cross multiply
    22,798.43x = 31,448.68 × 13,717.50
  4. Step 4: Simplify right side
    22,798.43x = 431,397,267.90
  5. Step 5: Solve for x
    x = 431,397,267.90/22,798.43
  6. Step 6: Final answer
    x = 18,922.24

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