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Finding the Fourth Proportional to 22,358.54, 30,854.04 and 12,287

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Solution

The fourth proportional to 22,358.54, 30,854.04 and 12,287 is: 16,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.54 : 30,854.04 = 12,287 : x
  2. Step 2: Convert to fraction form
    22,358.54/30,854.04 = 12,287/x
  3. Step 3: Cross multiply
    22,358.54x = 30,854.04 × 12,287
  4. Step 4: Simplify right side
    22,358.54x = 379,103,589.48
  5. Step 5: Solve for x
    x = 379,103,589.48/22,358.54
  6. Step 6: Final answer
    x = 16,955.65

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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.