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Finding the Fourth Proportional to 12,549.24, 18,828.42 and 4,758

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Solution

The fourth proportional to 12,549.24, 18,828.42 and 4,758 is: 7,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.24 : 18,828.42 = 4,758 : x
  2. Step 2: Convert to fraction form
    12,549.24/18,828.42 = 4,758/x
  3. Step 3: Cross multiply
    12,549.24x = 18,828.42 × 4,758
  4. Step 4: Simplify right side
    12,549.24x = 89,585,622.36
  5. Step 5: Solve for x
    x = 89,585,622.36/12,549.24
  6. Step 6: Final answer
    x = 7,138.73

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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.