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Finding the Fourth Proportional to 24,709.75, 37,068.25 and 7,837.13

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Solution

The fourth proportional to 24,709.75, 37,068.25 and 7,837.13 is: 11,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.75 : 37,068.25 = 7,837.13 : x
  2. Step 2: Convert to fraction form
    24,709.75/37,068.25 = 7,837.13/x
  3. Step 3: Cross multiply
    24,709.75x = 37,068.25 × 7,837.13
  4. Step 4: Simplify right side
    24,709.75x = 290,508,767.20
  5. Step 5: Solve for x
    x = 290,508,767.20/24,709.75
  6. Step 6: Final answer
    x = 11,756.85

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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.