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Finding the Fourth Proportional to 16,043.47, 22,145.13 and 9,327.83

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Solution

The fourth proportional to 16,043.47, 22,145.13 and 9,327.83 is: 12,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.47 : 22,145.13 = 9,327.83 : x
  2. Step 2: Convert to fraction form
    16,043.47/22,145.13 = 9,327.83/x
  3. Step 3: Cross multiply
    16,043.47x = 22,145.13 × 9,327.83
  4. Step 4: Simplify right side
    16,043.47x = 206,565,897.24
  5. Step 5: Solve for x
    x = 206,565,897.24/16,043.47
  6. Step 6: Final answer
    x = 12,875.39

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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.