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Finding the Fourth Proportional to 24,043.71, 36,065.84 and 7,403.61

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Solution

The fourth proportional to 24,043.71, 36,065.84 and 7,403.61 is: 11,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,043.71 : 36,065.84 = 7,403.61 : x
  2. Step 2: Convert to fraction form
    24,043.71/36,065.84 = 7,403.61/x
  3. Step 3: Cross multiply
    24,043.71x = 36,065.84 × 7,403.61
  4. Step 4: Simplify right side
    24,043.71x = 267,017,376.66
  5. Step 5: Solve for x
    x = 267,017,376.66/24,043.71
  6. Step 6: Final answer
    x = 11,105.50

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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.