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Finding the Fourth Proportional to 21,144.38, 31,677.42 and 10,602.10

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Solution

The fourth proportional to 21,144.38, 31,677.42 and 10,602.10 is: 15,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.38 : 31,677.42 = 10,602.10 : x
  2. Step 2: Convert to fraction form
    21,144.38/31,677.42 = 10,602.10/x
  3. Step 3: Cross multiply
    21,144.38x = 31,677.42 × 10,602.10
  4. Step 4: Simplify right side
    21,144.38x = 335,847,174.58
  5. Step 5: Solve for x
    x = 335,847,174.58/21,144.38
  6. Step 6: Final answer
    x = 15,883.52

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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.