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Finding the Fourth Proportional to 15,766.68, 23,645.16 and 5,376

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Solution

The fourth proportional to 15,766.68, 23,645.16 and 5,376 is: 8,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.68 : 23,645.16 = 5,376 : x
  2. Step 2: Convert to fraction form
    15,766.68/23,645.16 = 5,376/x
  3. Step 3: Cross multiply
    15,766.68x = 23,645.16 × 5,376
  4. Step 4: Simplify right side
    15,766.68x = 127,116,380.16
  5. Step 5: Solve for x
    x = 127,116,380.16/15,766.68
  6. Step 6: Final answer
    x = 8,062.34

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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.