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Finding the Fourth Proportional to 22,650.14, 31,253.55 and 12,578.39

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Solution

The fourth proportional to 22,650.14, 31,253.55 and 12,578.39 is: 17,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,650.14 : 31,253.55 = 12,578.39 : x
  2. Step 2: Convert to fraction form
    22,650.14/31,253.55 = 12,578.39/x
  3. Step 3: Cross multiply
    22,650.14x = 31,253.55 × 12,578.39
  4. Step 4: Simplify right side
    22,650.14x = 393,119,340.78
  5. Step 5: Solve for x
    x = 393,119,340.78/22,650.14
  6. Step 6: Final answer
    x = 17,356.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.