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Finding the Fourth Proportional to 22,894.78, 31,594.32 and 12,685.54

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Solution

The fourth proportional to 22,894.78, 31,594.32 and 12,685.54 is: 17,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.78 : 31,594.32 = 12,685.54 : x
  2. Step 2: Convert to fraction form
    22,894.78/31,594.32 = 12,685.54/x
  3. Step 3: Cross multiply
    22,894.78x = 31,594.32 × 12,685.54
  4. Step 4: Simplify right side
    22,894.78x = 400,791,010.13
  5. Step 5: Solve for x
    x = 400,791,010.13/22,894.78
  6. Step 6: Final answer
    x = 17,505.78

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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.