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Finding the Fourth Proportional to 14,691, 22,036.50 and 3,747

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Solution

The fourth proportional to 14,691, 22,036.50 and 3,747 is: 5,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 22,036.50 = 3,747 : x
  2. Step 2: Convert to fraction form
    14,691/22,036.50 = 3,747/x
  3. Step 3: Cross multiply
    14,691x = 22,036.50 × 3,747
  4. Step 4: Simplify right side
    14,691x = 82,570,765.50
  5. Step 5: Solve for x
    x = 82,570,765.50/14,691
  6. Step 6: Final answer
    x = 5,620.50

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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.