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Finding the Fourth Proportional to 24,202.95, 36,309.02 and 8,407.37

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Solution

The fourth proportional to 24,202.95, 36,309.02 and 8,407.37 is: 12,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.95 : 36,309.02 = 8,407.37 : x
  2. Step 2: Convert to fraction form
    24,202.95/36,309.02 = 8,407.37/x
  3. Step 3: Cross multiply
    24,202.95x = 36,309.02 × 8,407.37
  4. Step 4: Simplify right side
    24,202.95x = 305,263,141.90
  5. Step 5: Solve for x
    x = 305,263,141.90/24,202.95
  6. Step 6: Final answer
    x = 12,612.64

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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.