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Finding the Fourth Proportional to 24,206.76, 36,301.44 and 8,621.28

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Solution

The fourth proportional to 24,206.76, 36,301.44 and 8,621.28 is: 12,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.76 : 36,301.44 = 8,621.28 : x
  2. Step 2: Convert to fraction form
    24,206.76/36,301.44 = 8,621.28/x
  3. Step 3: Cross multiply
    24,206.76x = 36,301.44 × 8,621.28
  4. Step 4: Simplify right side
    24,206.76x = 312,964,878.64
  5. Step 5: Solve for x
    x = 312,964,878.64/24,206.76
  6. Step 6: Final answer
    x = 12,928.82

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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.