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Finding the Fourth Proportional to 16,312.65, 22,503.22 and 9,594

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Solution

The fourth proportional to 16,312.65, 22,503.22 and 9,594 is: 13,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.65 : 22,503.22 = 9,594 : x
  2. Step 2: Convert to fraction form
    16,312.65/22,503.22 = 9,594/x
  3. Step 3: Cross multiply
    16,312.65x = 22,503.22 × 9,594
  4. Step 4: Simplify right side
    16,312.65x = 215,895,892.68
  5. Step 5: Solve for x
    x = 215,895,892.68/16,312.65
  6. Step 6: Final answer
    x = 13,234.88

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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.