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Finding the Fourth Proportional to 22,831.12, 34,246.54 and 8,038.27

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Solution

The fourth proportional to 22,831.12, 34,246.54 and 8,038.27 is: 12,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.12 : 34,246.54 = 8,038.27 : x
  2. Step 2: Convert to fraction form
    22,831.12/34,246.54 = 8,038.27/x
  3. Step 3: Cross multiply
    22,831.12x = 34,246.54 × 8,038.27
  4. Step 4: Simplify right side
    22,831.12x = 275,282,935.09
  5. Step 5: Solve for x
    x = 275,282,935.09/22,831.12
  6. Step 6: Final answer
    x = 12,057.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.