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Finding the Fourth Proportional to 24,069.15, 36,099 and 7,426.62

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Solution

The fourth proportional to 24,069.15, 36,099 and 7,426.62 is: 11,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,069.15 : 36,099 = 7,426.62 : x
  2. Step 2: Convert to fraction form
    24,069.15/36,099 = 7,426.62/x
  3. Step 3: Cross multiply
    24,069.15x = 36,099 × 7,426.62
  4. Step 4: Simplify right side
    24,069.15x = 268,093,555.38
  5. Step 5: Solve for x
    x = 268,093,555.38/24,069.15
  6. Step 6: Final answer
    x = 11,138.47

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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.