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Finding the Fourth Proportional to 15,766.71, 23,652.35 and 5,233.16

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Solution

The fourth proportional to 15,766.71, 23,652.35 and 5,233.16 is: 7,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.71 : 23,652.35 = 5,233.16 : x
  2. Step 2: Convert to fraction form
    15,766.71/23,652.35 = 5,233.16/x
  3. Step 3: Cross multiply
    15,766.71x = 23,652.35 × 5,233.16
  4. Step 4: Simplify right side
    15,766.71x = 123,776,387.50
  5. Step 5: Solve for x
    x = 123,776,387.50/15,766.71
  6. Step 6: Final answer
    x = 7,850.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.