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Finding the Fourth Proportional to 24,487.41, 36,713.05 and 7,837.81

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Solution

The fourth proportional to 24,487.41, 36,713.05 and 7,837.81 is: 11,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,487.41 : 36,713.05 = 7,837.81 : x
  2. Step 2: Convert to fraction form
    24,487.41/36,713.05 = 7,837.81/x
  3. Step 3: Cross multiply
    24,487.41x = 36,713.05 × 7,837.81
  4. Step 4: Simplify right side
    24,487.41x = 287,750,005.55
  5. Step 5: Solve for x
    x = 287,750,005.55/24,487.41
  6. Step 6: Final answer
    x = 11,750.93

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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.