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Finding the Fourth Proportional to 15,897.28, 23,811.36 and 7,672

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Solution

The fourth proportional to 15,897.28, 23,811.36 and 7,672 is: 11,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.28 : 23,811.36 = 7,672 : x
  2. Step 2: Convert to fraction form
    15,897.28/23,811.36 = 7,672/x
  3. Step 3: Cross multiply
    15,897.28x = 23,811.36 × 7,672
  4. Step 4: Simplify right side
    15,897.28x = 182,680,753.92
  5. Step 5: Solve for x
    x = 182,680,753.92/15,897.28
  6. Step 6: Final answer
    x = 11,491.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.