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Finding the Fourth Proportional to 22,571.92, 31,138.98 and 13,135

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Solution

The fourth proportional to 22,571.92, 31,138.98 and 13,135 is: 18,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.92 : 31,138.98 = 13,135 : x
  2. Step 2: Convert to fraction form
    22,571.92/31,138.98 = 13,135/x
  3. Step 3: Cross multiply
    22,571.92x = 31,138.98 × 13,135
  4. Step 4: Simplify right side
    22,571.92x = 409,010,502.30
  5. Step 5: Solve for x
    x = 409,010,502.30/22,571.92
  6. Step 6: Final answer
    x = 18,120.32

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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.