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Finding the Fourth Proportional to 16,407.13, 24,604.65 and 5,874.30

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Solution

The fourth proportional to 16,407.13, 24,604.65 and 5,874.30 is: 8,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.13 : 24,604.65 = 5,874.30 : x
  2. Step 2: Convert to fraction form
    16,407.13/24,604.65 = 5,874.30/x
  3. Step 3: Cross multiply
    16,407.13x = 24,604.65 × 5,874.30
  4. Step 4: Simplify right side
    16,407.13x = 144,535,095.50
  5. Step 5: Solve for x
    x = 144,535,095.50/16,407.13
  6. Step 6: Final answer
    x = 8,809.29

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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.