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Finding the Fourth Proportional to 23,713.92, 32,728.48 and 13,642.17

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Solution

The fourth proportional to 23,713.92, 32,728.48 and 13,642.17 is: 18,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.92 : 32,728.48 = 13,642.17 : x
  2. Step 2: Convert to fraction form
    23,713.92/32,728.48 = 13,642.17/x
  3. Step 3: Cross multiply
    23,713.92x = 32,728.48 × 13,642.17
  4. Step 4: Simplify right side
    23,713.92x = 446,487,488.00
  5. Step 5: Solve for x
    x = 446,487,488.00/23,713.92
  6. Step 6: Final answer
    x = 18,828.08

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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.