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Finding the Fourth Proportional to 15,772.82, 23,660.50 and 5,242.46

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Solution

The fourth proportional to 15,772.82, 23,660.50 and 5,242.46 is: 7,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.82 : 23,660.50 = 5,242.46 : x
  2. Step 2: Convert to fraction form
    15,772.82/23,660.50 = 5,242.46/x
  3. Step 3: Cross multiply
    15,772.82x = 23,660.50 × 5,242.46
  4. Step 4: Simplify right side
    15,772.82x = 124,039,224.83
  5. Step 5: Solve for x
    x = 124,039,224.83/15,772.82
  6. Step 6: Final answer
    x = 7,864.11

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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.