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Finding the Fourth Proportional to 14,951.12, 22,429.08 and 4,562

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Solution

The fourth proportional to 14,951.12, 22,429.08 and 4,562 is: 6,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.12 : 22,429.08 = 4,562 : x
  2. Step 2: Convert to fraction form
    14,951.12/22,429.08 = 4,562/x
  3. Step 3: Cross multiply
    14,951.12x = 22,429.08 × 4,562
  4. Step 4: Simplify right side
    14,951.12x = 102,321,462.96
  5. Step 5: Solve for x
    x = 102,321,462.96/14,951.12
  6. Step 6: Final answer
    x = 6,843.73

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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.