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Finding the Fourth Proportional to 24,316.44, 36,449.54 and 9,319.44

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Solution

The fourth proportional to 24,316.44, 36,449.54 and 9,319.44 is: 13,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.44 : 36,449.54 = 9,319.44 : x
  2. Step 2: Convert to fraction form
    24,316.44/36,449.54 = 9,319.44/x
  3. Step 3: Cross multiply
    24,316.44x = 36,449.54 × 9,319.44
  4. Step 4: Simplify right side
    24,316.44x = 339,689,301.06
  5. Step 5: Solve for x
    x = 339,689,301.06/24,316.44
  6. Step 6: Final answer
    x = 13,969.53

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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.