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Finding the Fourth Proportional to 27,415.43, 37,831.02 and 16,083.74

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Solution

The fourth proportional to 27,415.43, 37,831.02 and 16,083.74 is: 22,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.43 : 37,831.02 = 16,083.74 : x
  2. Step 2: Convert to fraction form
    27,415.43/37,831.02 = 16,083.74/x
  3. Step 3: Cross multiply
    27,415.43x = 37,831.02 × 16,083.74
  4. Step 4: Simplify right side
    27,415.43x = 608,464,289.61
  5. Step 5: Solve for x
    x = 608,464,289.61/27,415.43
  6. Step 6: Final answer
    x = 22,194.23

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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.