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Finding the Fourth Proportional to 14,593.47, 20,137.14 and 9,213.90

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Solution

The fourth proportional to 14,593.47, 20,137.14 and 9,213.90 is: 12,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.47 : 20,137.14 = 9,213.90 : x
  2. Step 2: Convert to fraction form
    14,593.47/20,137.14 = 9,213.90/x
  3. Step 3: Cross multiply
    14,593.47x = 20,137.14 × 9,213.90
  4. Step 4: Simplify right side
    14,593.47x = 185,541,594.25
  5. Step 5: Solve for x
    x = 185,541,594.25/14,593.47
  6. Step 6: Final answer
    x = 12,714.01

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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.