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Finding the Fourth Proportional to 14,436.47, 21,626.66 and 8,177.20

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Solution

The fourth proportional to 14,436.47, 21,626.66 and 8,177.20 is: 12,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436.47 : 21,626.66 = 8,177.20 : x
  2. Step 2: Convert to fraction form
    14,436.47/21,626.66 = 8,177.20/x
  3. Step 3: Cross multiply
    14,436.47x = 21,626.66 × 8,177.20
  4. Step 4: Simplify right side
    14,436.47x = 176,845,490.53
  5. Step 5: Solve for x
    x = 176,845,490.53/14,436.47
  6. Step 6: Final answer
    x = 12,249.91

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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.