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Finding the Fourth Proportional to 27,409.92, 37,831.68 and 17,472

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Solution

The fourth proportional to 27,409.92, 37,831.68 and 17,472 is: 24,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.92 : 37,831.68 = 17,472 : x
  2. Step 2: Convert to fraction form
    27,409.92/37,831.68 = 17,472/x
  3. Step 3: Cross multiply
    27,409.92x = 37,831.68 × 17,472
  4. Step 4: Simplify right side
    27,409.92x = 660,995,112.96
  5. Step 5: Solve for x
    x = 660,995,112.96/27,409.92
  6. Step 6: Final answer
    x = 24,115.18

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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.