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Finding the Fourth Proportional to 21,614.58, 29,853 and 14,432.04

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Solution

The fourth proportional to 21,614.58, 29,853 and 14,432.04 is: 19,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.58 : 29,853 = 14,432.04 : x
  2. Step 2: Convert to fraction form
    21,614.58/29,853 = 14,432.04/x
  3. Step 3: Cross multiply
    21,614.58x = 29,853 × 14,432.04
  4. Step 4: Simplify right side
    21,614.58x = 430,839,690.12
  5. Step 5: Solve for x
    x = 430,839,690.12/21,614.58
  6. Step 6: Final answer
    x = 19,932.83

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Why These Related Problems?

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