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Finding the Fourth Proportional to 14,984.91, 22,491.17 and 7,594.61

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Solution

The fourth proportional to 14,984.91, 22,491.17 and 7,594.61 is: 11,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984.91 : 22,491.17 = 7,594.61 : x
  2. Step 2: Convert to fraction form
    14,984.91/22,491.17 = 7,594.61/x
  3. Step 3: Cross multiply
    14,984.91x = 22,491.17 × 7,594.61
  4. Step 4: Simplify right side
    14,984.91x = 170,811,514.16
  5. Step 5: Solve for x
    x = 170,811,514.16/14,984.91
  6. Step 6: Final answer
    x = 11,398.90

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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.