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Finding the Fourth Proportional to 22,919.77, 34,382.95 and 8,693.48

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Solution

The fourth proportional to 22,919.77, 34,382.95 and 8,693.48 is: 13,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,919.77 : 34,382.95 = 8,693.48 : x
  2. Step 2: Convert to fraction form
    22,919.77/34,382.95 = 8,693.48/x
  3. Step 3: Cross multiply
    22,919.77x = 34,382.95 × 8,693.48
  4. Step 4: Simplify right side
    22,919.77x = 298,907,488.17
  5. Step 5: Solve for x
    x = 298,907,488.17/22,919.77
  6. Step 6: Final answer
    x = 13,041.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.