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Finding the Fourth Proportional to 21,207.76, 29,294.26 and 16,141.22

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Solution

The fourth proportional to 21,207.76, 29,294.26 and 16,141.22 is: 22,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.76 : 29,294.26 = 16,141.22 : x
  2. Step 2: Convert to fraction form
    21,207.76/29,294.26 = 16,141.22/x
  3. Step 3: Cross multiply
    21,207.76x = 29,294.26 × 16,141.22
  4. Step 4: Simplify right side
    21,207.76x = 472,845,095.40
  5. Step 5: Solve for x
    x = 472,845,095.40/21,207.76
  6. Step 6: Final answer
    x = 22,295.85

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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.