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Finding the Fourth Proportional to 22,963.06, 34,448.19 and 9,815.50

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Solution

The fourth proportional to 22,963.06, 34,448.19 and 9,815.50 is: 14,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.06 : 34,448.19 = 9,815.50 : x
  2. Step 2: Convert to fraction form
    22,963.06/34,448.19 = 9,815.50/x
  3. Step 3: Cross multiply
    22,963.06x = 34,448.19 × 9,815.50
  4. Step 4: Simplify right side
    22,963.06x = 338,126,208.95
  5. Step 5: Solve for x
    x = 338,126,208.95/22,963.06
  6. Step 6: Final answer
    x = 14,724.79

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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.