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Finding the Fourth Proportional to 14,224.20, 19,624.96 and 9,191.20

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Solution

The fourth proportional to 14,224.20, 19,624.96 and 9,191.20 is: 12,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.20 : 19,624.96 = 9,191.20 : x
  2. Step 2: Convert to fraction form
    14,224.20/19,624.96 = 9,191.20/x
  3. Step 3: Cross multiply
    14,224.20x = 19,624.96 × 9,191.20
  4. Step 4: Simplify right side
    14,224.20x = 180,376,932.35
  5. Step 5: Solve for x
    x = 180,376,932.35/14,224.20
  6. Step 6: Final answer
    x = 12,680.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.