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Finding the Fourth Proportional to 24,537.64, 36,811.38 and 7,899.40

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Solution

The fourth proportional to 24,537.64, 36,811.38 and 7,899.40 is: 11,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.64 : 36,811.38 = 7,899.40 : x
  2. Step 2: Convert to fraction form
    24,537.64/36,811.38 = 7,899.40/x
  3. Step 3: Cross multiply
    24,537.64x = 36,811.38 × 7,899.40
  4. Step 4: Simplify right side
    24,537.64x = 290,787,815.17
  5. Step 5: Solve for x
    x = 290,787,815.17/24,537.64
  6. Step 6: Final answer
    x = 11,850.68

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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.