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Finding the Fourth Proportional to 22,663.29, 31,275.14 and 12,591.75

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Solution

The fourth proportional to 22,663.29, 31,275.14 and 12,591.75 is: 17,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.29 : 31,275.14 = 12,591.75 : x
  2. Step 2: Convert to fraction form
    22,663.29/31,275.14 = 12,591.75/x
  3. Step 3: Cross multiply
    22,663.29x = 31,275.14 × 12,591.75
  4. Step 4: Simplify right side
    22,663.29x = 393,808,681.14
  5. Step 5: Solve for x
    x = 393,808,681.14/22,663.29
  6. Step 6: Final answer
    x = 17,376.50

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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.