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Finding the Fourth Proportional to 22,733.51, 34,104.92 and 9,585.90

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Solution

The fourth proportional to 22,733.51, 34,104.92 and 9,585.90 is: 14,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733.51 : 34,104.92 = 9,585.90 : x
  2. Step 2: Convert to fraction form
    22,733.51/34,104.92 = 9,585.90/x
  3. Step 3: Cross multiply
    22,733.51x = 34,104.92 × 9,585.90
  4. Step 4: Simplify right side
    22,733.51x = 326,926,304.70
  5. Step 5: Solve for x
    x = 326,926,304.70/22,733.51
  6. Step 6: Final answer
    x = 14,380.81

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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.