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Finding the Fourth Proportional to 21,425.66, 29,560.53 and 13,877.78

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Solution

The fourth proportional to 21,425.66, 29,560.53 and 13,877.78 is: 19,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.66 : 29,560.53 = 13,877.78 : x
  2. Step 2: Convert to fraction form
    21,425.66/29,560.53 = 13,877.78/x
  3. Step 3: Cross multiply
    21,425.66x = 29,560.53 × 13,877.78
  4. Step 4: Simplify right side
    21,425.66x = 410,234,314.83
  5. Step 5: Solve for x
    x = 410,234,314.83/21,425.66
  6. Step 6: Final answer
    x = 19,146.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.