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Finding the Fourth Proportional to 22,584.76, 33,870.93 and 9,434.95

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Solution

The fourth proportional to 22,584.76, 33,870.93 and 9,434.95 is: 14,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.76 : 33,870.93 = 9,434.95 : x
  2. Step 2: Convert to fraction form
    22,584.76/33,870.93 = 9,434.95/x
  3. Step 3: Cross multiply
    22,584.76x = 33,870.93 × 9,434.95
  4. Step 4: Simplify right side
    22,584.76x = 319,570,531.00
  5. Step 5: Solve for x
    x = 319,570,531.00/22,584.76
  6. Step 6: Final answer
    x = 14,149.83

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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.