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Finding the Fourth Proportional to 21,251.76, 31,877.80 and 7,400.72

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Solution

The fourth proportional to 21,251.76, 31,877.80 and 7,400.72 is: 11,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.76 : 31,877.80 = 7,400.72 : x
  2. Step 2: Convert to fraction form
    21,251.76/31,877.80 = 7,400.72/x
  3. Step 3: Cross multiply
    21,251.76x = 31,877.80 × 7,400.72
  4. Step 4: Simplify right side
    21,251.76x = 235,918,672.02
  5. Step 5: Solve for x
    x = 235,918,672.02/21,251.76
  6. Step 6: Final answer
    x = 11,101.14

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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.