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Finding the Fourth Proportional to 24,384.96, 36,578.86 and 6,856.16

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Solution

The fourth proportional to 24,384.96, 36,578.86 and 6,856.16 is: 10,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.96 : 36,578.86 = 6,856.16 : x
  2. Step 2: Convert to fraction form
    24,384.96/36,578.86 = 6,856.16/x
  3. Step 3: Cross multiply
    24,384.96x = 36,578.86 × 6,856.16
  4. Step 4: Simplify right side
    24,384.96x = 250,790,316.74
  5. Step 5: Solve for x
    x = 250,790,316.74/24,384.96
  6. Step 6: Final answer
    x = 10,284.63

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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.