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Finding the Fourth Proportional to 22,961.88, 31,688.80 and 15,292

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Solution

The fourth proportional to 22,961.88, 31,688.80 and 15,292 is: 21,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.88 : 31,688.80 = 15,292 : x
  2. Step 2: Convert to fraction form
    22,961.88/31,688.80 = 15,292/x
  3. Step 3: Cross multiply
    22,961.88x = 31,688.80 × 15,292
  4. Step 4: Simplify right side
    22,961.88x = 484,585,129.60
  5. Step 5: Solve for x
    x = 484,585,129.60/22,961.88
  6. Step 6: Final answer
    x = 21,103.90

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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.