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Finding the Fourth Proportional to 14,491.20, 21,738 and 4,631.88

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Solution

The fourth proportional to 14,491.20, 21,738 and 4,631.88 is: 6,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.20 : 21,738 = 4,631.88 : x
  2. Step 2: Convert to fraction form
    14,491.20/21,738 = 4,631.88/x
  3. Step 3: Cross multiply
    14,491.20x = 21,738 × 4,631.88
  4. Step 4: Simplify right side
    14,491.20x = 100,687,807.44
  5. Step 5: Solve for x
    x = 100,687,807.44/14,491.20
  6. Step 6: Final answer
    x = 6,948.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.