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Finding the Fourth Proportional to 24,407.70, 36,618.44 and 6,877.68

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Solution

The fourth proportional to 24,407.70, 36,618.44 and 6,877.68 is: 10,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.70 : 36,618.44 = 6,877.68 : x
  2. Step 2: Convert to fraction form
    24,407.70/36,618.44 = 6,877.68/x
  3. Step 3: Cross multiply
    24,407.70x = 36,618.44 × 6,877.68
  4. Step 4: Simplify right side
    24,407.70x = 251,849,912.42
  5. Step 5: Solve for x
    x = 251,849,912.42/24,407.70
  6. Step 6: Final answer
    x = 10,318.46

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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.