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Finding the Fourth Proportional to 24,509.96, 33,843.12 and 16,017.92

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Solution

The fourth proportional to 24,509.96, 33,843.12 and 16,017.92 is: 22,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.96 : 33,843.12 = 16,017.92 : x
  2. Step 2: Convert to fraction form
    24,509.96/33,843.12 = 16,017.92/x
  3. Step 3: Cross multiply
    24,509.96x = 33,843.12 × 16,017.92
  4. Step 4: Simplify right side
    24,509.96x = 542,096,388.71
  5. Step 5: Solve for x
    x = 542,096,388.71/24,509.96
  6. Step 6: Final answer
    x = 22,117.39

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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.