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Finding the Fourth Proportional to 24,319.14, 36,478.71 and 5,851.14

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Solution

The fourth proportional to 24,319.14, 36,478.71 and 5,851.14 is: 8,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,319.14 : 36,478.71 = 5,851.14 : x
  2. Step 2: Convert to fraction form
    24,319.14/36,478.71 = 5,851.14/x
  3. Step 3: Cross multiply
    24,319.14x = 36,478.71 × 5,851.14
  4. Step 4: Simplify right side
    24,319.14x = 213,442,039.23
  5. Step 5: Solve for x
    x = 213,442,039.23/24,319.14
  6. Step 6: Final answer
    x = 8,776.71

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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.