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Finding the Fourth Proportional to 22,341.70, 30,831.92 and 12,271.07

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Solution

The fourth proportional to 22,341.70, 30,831.92 and 12,271.07 is: 16,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,341.70 : 30,831.92 = 12,271.07 : x
  2. Step 2: Convert to fraction form
    22,341.70/30,831.92 = 12,271.07/x
  3. Step 3: Cross multiply
    22,341.70x = 30,831.92 × 12,271.07
  4. Step 4: Simplify right side
    22,341.70x = 378,340,589.07
  5. Step 5: Solve for x
    x = 378,340,589.07/22,341.70
  6. Step 6: Final answer
    x = 16,934.28

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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.