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Finding the Fourth Proportional to 24,333.93, 36,507.38 and 7,694.28

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Solution

The fourth proportional to 24,333.93, 36,507.38 and 7,694.28 is: 11,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.93 : 36,507.38 = 7,694.28 : x
  2. Step 2: Convert to fraction form
    24,333.93/36,507.38 = 7,694.28/x
  3. Step 3: Cross multiply
    24,333.93x = 36,507.38 × 7,694.28
  4. Step 4: Simplify right side
    24,333.93x = 280,897,965.32
  5. Step 5: Solve for x
    x = 280,897,965.32/24,333.93
  6. Step 6: Final answer
    x = 11,543.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.