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Finding the Fourth Proportional to 13,024.92, 19,539 and 4,257.48

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Solution

The fourth proportional to 13,024.92, 19,539 and 4,257.48 is: 6,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.92 : 19,539 = 4,257.48 : x
  2. Step 2: Convert to fraction form
    13,024.92/19,539 = 4,257.48/x
  3. Step 3: Cross multiply
    13,024.92x = 19,539 × 4,257.48
  4. Step 4: Simplify right side
    13,024.92x = 83,186,901.72
  5. Step 5: Solve for x
    x = 83,186,901.72/13,024.92
  6. Step 6: Final answer
    x = 6,386.75

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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.