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Finding the Fourth Proportional to 22,520.16, 31,077.76 and 12,584.16

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Solution

The fourth proportional to 22,520.16, 31,077.76 and 12,584.16 is: 17,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.16 : 31,077.76 = 12,584.16 : x
  2. Step 2: Convert to fraction form
    22,520.16/31,077.76 = 12,584.16/x
  3. Step 3: Cross multiply
    22,520.16x = 31,077.76 × 12,584.16
  4. Step 4: Simplify right side
    22,520.16x = 391,087,504.28
  5. Step 5: Solve for x
    x = 391,087,504.28/22,520.16
  6. Step 6: Final answer
    x = 17,366.11

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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.