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Finding the Fourth Proportional to 24,812.96, 34,194.72 and 24,357.60

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Solution

The fourth proportional to 24,812.96, 34,194.72 and 24,357.60 is: 33,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.96 : 34,194.72 = 24,357.60 : x
  2. Step 2: Convert to fraction form
    24,812.96/34,194.72 = 24,357.60/x
  3. Step 3: Cross multiply
    24,812.96x = 34,194.72 × 24,357.60
  4. Step 4: Simplify right side
    24,812.96x = 832,901,311.87
  5. Step 5: Solve for x
    x = 832,901,311.87/24,812.96
  6. Step 6: Final answer
    x = 33,567.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.