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Finding the Fourth Proportional to 21,573.76, 29,772.75 and 12,142.93

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Solution

The fourth proportional to 21,573.76, 29,772.75 and 12,142.93 is: 16,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.76 : 29,772.75 = 12,142.93 : x
  2. Step 2: Convert to fraction form
    21,573.76/29,772.75 = 12,142.93/x
  3. Step 3: Cross multiply
    21,573.76x = 29,772.75 × 12,142.93
  4. Step 4: Simplify right side
    21,573.76x = 361,528,419.16
  5. Step 5: Solve for x
    x = 361,528,419.16/21,573.76
  6. Step 6: Final answer
    x = 16,757.78

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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.