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Finding the Fourth Proportional to 23,352.16, 35,034 and 7,769.92

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Solution

The fourth proportional to 23,352.16, 35,034 and 7,769.92 is: 11,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352.16 : 35,034 = 7,769.92 : x
  2. Step 2: Convert to fraction form
    23,352.16/35,034 = 7,769.92/x
  3. Step 3: Cross multiply
    23,352.16x = 35,034 × 7,769.92
  4. Step 4: Simplify right side
    23,352.16x = 272,211,377.28
  5. Step 5: Solve for x
    x = 272,211,377.28/23,352.16
  6. Step 6: Final answer
    x = 11,656.80

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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.