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Finding the Fourth Proportional to 24,065.42, 36,098.60 and 8,270.28

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Solution

The fourth proportional to 24,065.42, 36,098.60 and 8,270.28 is: 12,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.42 : 36,098.60 = 8,270.28 : x
  2. Step 2: Convert to fraction form
    24,065.42/36,098.60 = 8,270.28/x
  3. Step 3: Cross multiply
    24,065.42x = 36,098.60 × 8,270.28
  4. Step 4: Simplify right side
    24,065.42x = 298,545,529.61
  5. Step 5: Solve for x
    x = 298,545,529.61/24,065.42
  6. Step 6: Final answer
    x = 12,405.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.