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Finding the Fourth Proportional to 22,792.25, 31,454.88 and 12,722.64

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Solution

The fourth proportional to 22,792.25, 31,454.88 and 12,722.64 is: 17,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792.25 : 31,454.88 = 12,722.64 : x
  2. Step 2: Convert to fraction form
    22,792.25/31,454.88 = 12,722.64/x
  3. Step 3: Cross multiply
    22,792.25x = 31,454.88 × 12,722.64
  4. Step 4: Simplify right side
    22,792.25x = 400,189,050.87
  5. Step 5: Solve for x
    x = 400,189,050.87/22,792.25
  6. Step 6: Final answer
    x = 17,558.12

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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.