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Finding the Fourth Proportional to 15,081.66, 20,824.92 and 9,423

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Solution

The fourth proportional to 15,081.66, 20,824.92 and 9,423 is: 13,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,081.66 : 20,824.92 = 9,423 : x
  2. Step 2: Convert to fraction form
    15,081.66/20,824.92 = 9,423/x
  3. Step 3: Cross multiply
    15,081.66x = 20,824.92 × 9,423
  4. Step 4: Simplify right side
    15,081.66x = 196,233,221.16
  5. Step 5: Solve for x
    x = 196,233,221.16/15,081.66
  6. Step 6: Final answer
    x = 13,011.38

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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.