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Finding the Fourth Proportional to 16,377.30, 24,566.07 and 7,009.43

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Solution

The fourth proportional to 16,377.30, 24,566.07 and 7,009.43 is: 10,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.30 : 24,566.07 = 7,009.43 : x
  2. Step 2: Convert to fraction form
    16,377.30/24,566.07 = 7,009.43/x
  3. Step 3: Cross multiply
    16,377.30x = 24,566.07 × 7,009.43
  4. Step 4: Simplify right side
    16,377.30x = 172,193,990.16
  5. Step 5: Solve for x
    x = 172,193,990.16/16,377.30
  6. Step 6: Final answer
    x = 10,514.19

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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.