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Finding the Fourth Proportional to 22,831.92, 31,525.02 and 14,878.44

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Solution

The fourth proportional to 22,831.92, 31,525.02 and 14,878.44 is: 20,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.92 : 31,525.02 = 14,878.44 : x
  2. Step 2: Convert to fraction form
    22,831.92/31,525.02 = 14,878.44/x
  3. Step 3: Cross multiply
    22,831.92x = 31,525.02 × 14,878.44
  4. Step 4: Simplify right side
    22,831.92x = 469,043,118.57
  5. Step 5: Solve for x
    x = 469,043,118.57/22,831.92
  6. Step 6: Final answer
    x = 20,543.31

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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.