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Finding the Fourth Proportional to 15,516.64, 23,274.24 and 5,128

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Solution

The fourth proportional to 15,516.64, 23,274.24 and 5,128 is: 7,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516.64 : 23,274.24 = 5,128 : x
  2. Step 2: Convert to fraction form
    15,516.64/23,274.24 = 5,128/x
  3. Step 3: Cross multiply
    15,516.64x = 23,274.24 × 5,128
  4. Step 4: Simplify right side
    15,516.64x = 119,350,302.72
  5. Step 5: Solve for x
    x = 119,350,302.72/15,516.64
  6. Step 6: Final answer
    x = 7,691.76

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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.