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Finding the Fourth Proportional to 16,538.33, 24,799.65 and 6,411.44

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Solution

The fourth proportional to 16,538.33, 24,799.65 and 6,411.44 is: 9,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.33 : 24,799.65 = 6,411.44 : x
  2. Step 2: Convert to fraction form
    16,538.33/24,799.65 = 6,411.44/x
  3. Step 3: Cross multiply
    16,538.33x = 24,799.65 × 6,411.44
  4. Step 4: Simplify right side
    16,538.33x = 159,001,402.52
  5. Step 5: Solve for x
    x = 159,001,402.52/16,538.33
  6. Step 6: Final answer
    x = 9,614.12

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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.