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Finding the Fourth Proportional to 23,620.14, 32,592.38 and 13,549

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Solution

The fourth proportional to 23,620.14, 32,592.38 and 13,549 is: 18,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620.14 : 32,592.38 = 13,549 : x
  2. Step 2: Convert to fraction form
    23,620.14/32,592.38 = 13,549/x
  3. Step 3: Cross multiply
    23,620.14x = 32,592.38 × 13,549
  4. Step 4: Simplify right side
    23,620.14x = 441,594,156.62
  5. Step 5: Solve for x
    x = 441,594,156.62/23,620.14
  6. Step 6: Final answer
    x = 18,695.66

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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.