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Finding the Fourth Proportional to 24,537.74, 36,805.86 and 7,007.60

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Solution

The fourth proportional to 24,537.74, 36,805.86 and 7,007.60 is: 10,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.74 : 36,805.86 = 7,007.60 : x
  2. Step 2: Convert to fraction form
    24,537.74/36,805.86 = 7,007.60/x
  3. Step 3: Cross multiply
    24,537.74x = 36,805.86 × 7,007.60
  4. Step 4: Simplify right side
    24,537.74x = 257,920,744.54
  5. Step 5: Solve for x
    x = 257,920,744.54/24,537.74
  6. Step 6: Final answer
    x = 10,511.19

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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.