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Finding the Fourth Proportional to 24,911.09, 37,358.50 and 8,266.65

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Solution

The fourth proportional to 24,911.09, 37,358.50 and 8,266.65 is: 12,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911.09 : 37,358.50 = 8,266.65 : x
  2. Step 2: Convert to fraction form
    24,911.09/37,358.50 = 8,266.65/x
  3. Step 3: Cross multiply
    24,911.09x = 37,358.50 × 8,266.65
  4. Step 4: Simplify right side
    24,911.09x = 308,829,415.90
  5. Step 5: Solve for x
    x = 308,829,415.90/24,911.09
  6. Step 6: Final answer
    x = 12,397.27

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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.