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Finding the Fourth Proportional to 22,342.52, 30,831.48 and 12,269

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Solution

The fourth proportional to 22,342.52, 30,831.48 and 12,269 is: 16,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.52 : 30,831.48 = 12,269 : x
  2. Step 2: Convert to fraction form
    22,342.52/30,831.48 = 12,269/x
  3. Step 3: Cross multiply
    22,342.52x = 30,831.48 × 12,269
  4. Step 4: Simplify right side
    22,342.52x = 378,271,428.12
  5. Step 5: Solve for x
    x = 378,271,428.12/22,342.52
  6. Step 6: Final answer
    x = 16,930.56

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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.