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Finding the Fourth Proportional to 22,344.32, 30,831.74 and 12,911.06

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Solution

The fourth proportional to 22,344.32, 30,831.74 and 12,911.06 is: 17,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344.32 : 30,831.74 = 12,911.06 : x
  2. Step 2: Convert to fraction form
    22,344.32/30,831.74 = 12,911.06/x
  3. Step 3: Cross multiply
    22,344.32x = 30,831.74 × 12,911.06
  4. Step 4: Simplify right side
    22,344.32x = 398,070,505.98
  5. Step 5: Solve for x
    x = 398,070,505.98/22,344.32
  6. Step 6: Final answer
    x = 17,815.29

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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.