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Finding the Fourth Proportional to 15,982.74, 22,059 and 10,019.52

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Solution

The fourth proportional to 15,982.74, 22,059 and 10,019.52 is: 13,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.74 : 22,059 = 10,019.52 : x
  2. Step 2: Convert to fraction form
    15,982.74/22,059 = 10,019.52/x
  3. Step 3: Cross multiply
    15,982.74x = 22,059 × 10,019.52
  4. Step 4: Simplify right side
    15,982.74x = 221,020,591.68
  5. Step 5: Solve for x
    x = 221,020,591.68/15,982.74
  6. Step 6: Final answer
    x = 13,828.70

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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.