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Finding the Fourth Proportional to 16,753.60, 25,131 and 8,429.08

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Solution

The fourth proportional to 16,753.60, 25,131 and 8,429.08 is: 12,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753.60 : 25,131 = 8,429.08 : x
  2. Step 2: Convert to fraction form
    16,753.60/25,131 = 8,429.08/x
  3. Step 3: Cross multiply
    16,753.60x = 25,131 × 8,429.08
  4. Step 4: Simplify right side
    16,753.60x = 211,831,209.48
  5. Step 5: Solve for x
    x = 211,831,209.48/16,753.60
  6. Step 6: Final answer
    x = 12,643.92

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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.