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Finding the Fourth Proportional to 16,825.92, 25,242.48 and 5,140

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Solution

The fourth proportional to 16,825.92, 25,242.48 and 5,140 is: 7,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.92 : 25,242.48 = 5,140 : x
  2. Step 2: Convert to fraction form
    16,825.92/25,242.48 = 5,140/x
  3. Step 3: Cross multiply
    16,825.92x = 25,242.48 × 5,140
  4. Step 4: Simplify right side
    16,825.92x = 129,746,347.20
  5. Step 5: Solve for x
    x = 129,746,347.20/16,825.92
  6. Step 6: Final answer
    x = 7,711.10

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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.