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Finding the Fourth Proportional to 24,658.96, 36,988.44 and 8,020.48

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Solution

The fourth proportional to 24,658.96, 36,988.44 and 8,020.48 is: 12,030.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.96 : 36,988.44 = 8,020.48 : x
  2. Step 2: Convert to fraction form
    24,658.96/36,988.44 = 8,020.48/x
  3. Step 3: Cross multiply
    24,658.96x = 36,988.44 × 8,020.48
  4. Step 4: Simplify right side
    24,658.96x = 296,665,043.25
  5. Step 5: Solve for x
    x = 296,665,043.25/24,658.96
  6. Step 6: Final answer
    x = 12,030.72

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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.