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Finding the Fourth Proportional to 24,309.16, 36,463.98 and 6,780.28

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Solution

The fourth proportional to 24,309.16, 36,463.98 and 6,780.28 is: 10,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.16 : 36,463.98 = 6,780.28 : x
  2. Step 2: Convert to fraction form
    24,309.16/36,463.98 = 6,780.28/x
  3. Step 3: Cross multiply
    24,309.16x = 36,463.98 × 6,780.28
  4. Step 4: Simplify right side
    24,309.16x = 247,235,994.31
  5. Step 5: Solve for x
    x = 247,235,994.31/24,309.16
  6. Step 6: Final answer
    x = 10,170.49

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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.