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Finding the Fourth Proportional to 21,358.81, 32,008.13 and 10,102.13

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Solution

The fourth proportional to 21,358.81, 32,008.13 and 10,102.13 is: 15,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.81 : 32,008.13 = 10,102.13 : x
  2. Step 2: Convert to fraction form
    21,358.81/32,008.13 = 10,102.13/x
  3. Step 3: Cross multiply
    21,358.81x = 32,008.13 × 10,102.13
  4. Step 4: Simplify right side
    21,358.81x = 323,350,417.72
  5. Step 5: Solve for x
    x = 323,350,417.72/21,358.81
  6. Step 6: Final answer
    x = 15,138.97

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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.