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Finding the Fourth Proportional to 16,181.87, 22,335.17 and 14,500.40

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Solution

The fourth proportional to 16,181.87, 22,335.17 and 14,500.40 is: 20,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.87 : 22,335.17 = 14,500.40 : x
  2. Step 2: Convert to fraction form
    16,181.87/22,335.17 = 14,500.40/x
  3. Step 3: Cross multiply
    16,181.87x = 22,335.17 × 14,500.40
  4. Step 4: Simplify right side
    16,181.87x = 323,868,714.89
  5. Step 5: Solve for x
    x = 323,868,714.89/16,181.87
  6. Step 6: Final answer
    x = 20,014.30

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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.