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Finding the Fourth Proportional to 10,913.68, 16,291.13 and 10,102.24

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Solution

The fourth proportional to 10,913.68, 16,291.13 and 10,102.24 is: 15,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.68 : 16,291.13 = 10,102.24 : x
  2. Step 2: Convert to fraction form
    10,913.68/16,291.13 = 10,102.24/x
  3. Step 3: Cross multiply
    10,913.68x = 16,291.13 × 10,102.24
  4. Step 4: Simplify right side
    10,913.68x = 164,576,905.13
  5. Step 5: Solve for x
    x = 164,576,905.13/10,913.68
  6. Step 6: Final answer
    x = 15,079.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.