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Finding the Fourth Proportional to 16,737.70, 25,118.68 and 13,490

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Solution

The fourth proportional to 16,737.70, 25,118.68 and 13,490 is: 20,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737.70 : 25,118.68 = 13,490 : x
  2. Step 2: Convert to fraction form
    16,737.70/25,118.68 = 13,490/x
  3. Step 3: Cross multiply
    16,737.70x = 25,118.68 × 13,490
  4. Step 4: Simplify right side
    16,737.70x = 338,850,993.20
  5. Step 5: Solve for x
    x = 338,850,993.20/16,737.70
  6. Step 6: Final answer
    x = 20,244.78

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Why These Related Problems?

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