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Finding the Fourth Proportional to 24,310.16, 36,467.28 and 6,780

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Solution

The fourth proportional to 24,310.16, 36,467.28 and 6,780 is: 10,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.16 : 36,467.28 = 6,780 : x
  2. Step 2: Convert to fraction form
    24,310.16/36,467.28 = 6,780/x
  3. Step 3: Cross multiply
    24,310.16x = 36,467.28 × 6,780
  4. Step 4: Simplify right side
    24,310.16x = 247,248,158.40
  5. Step 5: Solve for x
    x = 247,248,158.40/24,310.16
  6. Step 6: Final answer
    x = 10,170.57

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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.