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Finding the Fourth Proportional to 22,483.92, 31,029.84 and 12,414.54

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Solution

The fourth proportional to 22,483.92, 31,029.84 and 12,414.54 is: 17,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.92 : 31,029.84 = 12,414.54 : x
  2. Step 2: Convert to fraction form
    22,483.92/31,029.84 = 12,414.54/x
  3. Step 3: Cross multiply
    22,483.92x = 31,029.84 × 12,414.54
  4. Step 4: Simplify right side
    22,483.92x = 385,221,189.87
  5. Step 5: Solve for x
    x = 385,221,189.87/22,483.92
  6. Step 6: Final answer
    x = 17,133.19

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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.