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Finding the Fourth Proportional to 24,098.70, 36,146 and 8,303.70

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Solution

The fourth proportional to 24,098.70, 36,146 and 8,303.70 is: 12,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.70 : 36,146 = 8,303.70 : x
  2. Step 2: Convert to fraction form
    24,098.70/36,146 = 8,303.70/x
  3. Step 3: Cross multiply
    24,098.70x = 36,146 × 8,303.70
  4. Step 4: Simplify right side
    24,098.70x = 300,145,540.20
  5. Step 5: Solve for x
    x = 300,145,540.20/24,098.70
  6. Step 6: Final answer
    x = 12,454.84

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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.