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Finding the Fourth Proportional to 21,142.71, 31,711.64 and 7,102.17

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Solution

The fourth proportional to 21,142.71, 31,711.64 and 7,102.17 is: 10,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.71 : 31,711.64 = 7,102.17 : x
  2. Step 2: Convert to fraction form
    21,142.71/31,711.64 = 7,102.17/x
  3. Step 3: Cross multiply
    21,142.71x = 31,711.64 × 7,102.17
  4. Step 4: Simplify right side
    21,142.71x = 225,221,422.75
  5. Step 5: Solve for x
    x = 225,221,422.75/21,142.71
  6. Step 6: Final answer
    x = 10,652.44

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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.