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Finding the Fourth Proportional to 15,815.28, 21,825.36 and 9,102

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Solution

The fourth proportional to 15,815.28, 21,825.36 and 9,102 is: 12,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.28 : 21,825.36 = 9,102 : x
  2. Step 2: Convert to fraction form
    15,815.28/21,825.36 = 9,102/x
  3. Step 3: Cross multiply
    15,815.28x = 21,825.36 × 9,102
  4. Step 4: Simplify right side
    15,815.28x = 198,654,426.72
  5. Step 5: Solve for x
    x = 198,654,426.72/15,815.28
  6. Step 6: Final answer
    x = 12,560.92

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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.