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Finding the Fourth Proportional to 24,316.48, 36,474 and 10,083.52

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Solution

The fourth proportional to 24,316.48, 36,474 and 10,083.52 is: 15,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.48 : 36,474 = 10,083.52 : x
  2. Step 2: Convert to fraction form
    24,316.48/36,474 = 10,083.52/x
  3. Step 3: Cross multiply
    24,316.48x = 36,474 × 10,083.52
  4. Step 4: Simplify right side
    24,316.48x = 367,786,308.48
  5. Step 5: Solve for x
    x = 367,786,308.48/24,316.48
  6. Step 6: Final answer
    x = 15,124.98

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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.