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Finding the Fourth Proportional to 13,024.80, 19,532.80 and 4,257.76

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Solution

The fourth proportional to 13,024.80, 19,532.80 and 4,257.76 is: 6,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.80 : 19,532.80 = 4,257.76 : x
  2. Step 2: Convert to fraction form
    13,024.80/19,532.80 = 4,257.76/x
  3. Step 3: Cross multiply
    13,024.80x = 19,532.80 × 4,257.76
  4. Step 4: Simplify right side
    13,024.80x = 83,165,974.53
  5. Step 5: Solve for x
    x = 83,165,974.53/13,024.80
  6. Step 6: Final answer
    x = 6,385.20

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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.