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Finding the Fourth Proportional to 22,520.35, 31,078.07 and 12,584.35

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Solution

The fourth proportional to 22,520.35, 31,078.07 and 12,584.35 is: 17,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.35 : 31,078.07 = 12,584.35 : x
  2. Step 2: Convert to fraction form
    22,520.35/31,078.07 = 12,584.35/x
  3. Step 3: Cross multiply
    22,520.35x = 31,078.07 × 12,584.35
  4. Step 4: Simplify right side
    22,520.35x = 391,097,263.97
  5. Step 5: Solve for x
    x = 391,097,263.97/22,520.35
  6. Step 6: Final answer
    x = 17,366.40

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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.