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Finding the Fourth Proportional to 21,706.17, 29,945.68 and 14,149.84

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Solution

The fourth proportional to 21,706.17, 29,945.68 and 14,149.84 is: 19,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.17 : 29,945.68 = 14,149.84 : x
  2. Step 2: Convert to fraction form
    21,706.17/29,945.68 = 14,149.84/x
  3. Step 3: Cross multiply
    21,706.17x = 29,945.68 × 14,149.84
  4. Step 4: Simplify right side
    21,706.17x = 423,726,580.69
  5. Step 5: Solve for x
    x = 423,726,580.69/21,706.17
  6. Step 6: Final answer
    x = 19,521.02

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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.