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Finding the Fourth Proportional to 19,644.57, 29,445.66 and 14,294.88

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Solution

The fourth proportional to 19,644.57, 29,445.66 and 14,294.88 is: 21,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.57 : 29,445.66 = 14,294.88 : x
  2. Step 2: Convert to fraction form
    19,644.57/29,445.66 = 14,294.88/x
  3. Step 3: Cross multiply
    19,644.57x = 29,445.66 × 14,294.88
  4. Step 4: Simplify right side
    19,644.57x = 420,922,176.22
  5. Step 5: Solve for x
    x = 420,922,176.22/19,644.57
  6. Step 6: Final answer
    x = 21,426.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.