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Finding the Fourth Proportional to 16,253.68, 22,436.04 and 12,741.52

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Solution

The fourth proportional to 16,253.68, 22,436.04 and 12,741.52 is: 17,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.68 : 22,436.04 = 12,741.52 : x
  2. Step 2: Convert to fraction form
    16,253.68/22,436.04 = 12,741.52/x
  3. Step 3: Cross multiply
    16,253.68x = 22,436.04 × 12,741.52
  4. Step 4: Simplify right side
    16,253.68x = 285,869,252.38
  5. Step 5: Solve for x
    x = 285,869,252.38/16,253.68
  6. Step 6: Final answer
    x = 17,587.97

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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.