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Finding the Fourth Proportional to 22,648.47, 31,256.86 and 12,578.87

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Solution

The fourth proportional to 22,648.47, 31,256.86 and 12,578.87 is: 17,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.47 : 31,256.86 = 12,578.87 : x
  2. Step 2: Convert to fraction form
    22,648.47/31,256.86 = 12,578.87/x
  3. Step 3: Cross multiply
    22,648.47x = 31,256.86 × 12,578.87
  4. Step 4: Simplify right side
    22,648.47x = 393,175,978.55
  5. Step 5: Solve for x
    x = 393,175,978.55/22,648.47
  6. Step 6: Final answer
    x = 17,359.94

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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.