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Finding the Fourth Proportional to 23,707.76, 32,715.12 and 13,097.28

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Solution

The fourth proportional to 23,707.76, 32,715.12 and 13,097.28 is: 18,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.76 : 32,715.12 = 13,097.28 : x
  2. Step 2: Convert to fraction form
    23,707.76/32,715.12 = 13,097.28/x
  3. Step 3: Cross multiply
    23,707.76x = 32,715.12 × 13,097.28
  4. Step 4: Simplify right side
    23,707.76x = 428,479,086.87
  5. Step 5: Solve for x
    x = 428,479,086.87/23,707.76
  6. Step 6: Final answer
    x = 18,073.37

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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.