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Finding the Fourth Proportional to 24,352.78, 36,538.05 and 10,316.38

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Solution

The fourth proportional to 24,352.78, 36,538.05 and 10,316.38 is: 15,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,352.78 : 36,538.05 = 10,316.38 : x
  2. Step 2: Convert to fraction form
    24,352.78/36,538.05 = 10,316.38/x
  3. Step 3: Cross multiply
    24,352.78x = 36,538.05 × 10,316.38
  4. Step 4: Simplify right side
    24,352.78x = 376,940,408.26
  5. Step 5: Solve for x
    x = 376,940,408.26/24,352.78
  6. Step 6: Final answer
    x = 15,478.33

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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.