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Finding the Fourth Proportional to 15,620.28, 23,414.02 and 9,697.16

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Solution

The fourth proportional to 15,620.28, 23,414.02 and 9,697.16 is: 14,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,620.28 : 23,414.02 = 9,697.16 : x
  2. Step 2: Convert to fraction form
    15,620.28/23,414.02 = 9,697.16/x
  3. Step 3: Cross multiply
    15,620.28x = 23,414.02 × 9,697.16
  4. Step 4: Simplify right side
    15,620.28x = 227,049,498.18
  5. Step 5: Solve for x
    x = 227,049,498.18/15,620.28
  6. Step 6: Final answer
    x = 14,535.56

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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.