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Finding the Fourth Proportional to 14,552.46, 20,081.52 and 8,586

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Solution

The fourth proportional to 14,552.46, 20,081.52 and 8,586 is: 11,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.46 : 20,081.52 = 8,586 : x
  2. Step 2: Convert to fraction form
    14,552.46/20,081.52 = 8,586/x
  3. Step 3: Cross multiply
    14,552.46x = 20,081.52 × 8,586
  4. Step 4: Simplify right side
    14,552.46x = 172,419,930.72
  5. Step 5: Solve for x
    x = 172,419,930.72/14,552.46
  6. Step 6: Final answer
    x = 11,848.16

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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.