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Finding the Fourth Proportional to 19,640.86, 29,437.89 and 13,685.52

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Solution

The fourth proportional to 19,640.86, 29,437.89 and 13,685.52 is: 20,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.86 : 29,437.89 = 13,685.52 : x
  2. Step 2: Convert to fraction form
    19,640.86/29,437.89 = 13,685.52/x
  3. Step 3: Cross multiply
    19,640.86x = 29,437.89 × 13,685.52
  4. Step 4: Simplify right side
    19,640.86x = 402,872,832.35
  5. Step 5: Solve for x
    x = 402,872,832.35/19,640.86
  6. Step 6: Final answer
    x = 20,511.98

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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.