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Finding the Fourth Proportional to 23,567.12, 35,343.16 and 7,769.20

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Solution

The fourth proportional to 23,567.12, 35,343.16 and 7,769.20 is: 11,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.12 : 35,343.16 = 7,769.20 : x
  2. Step 2: Convert to fraction form
    23,567.12/35,343.16 = 7,769.20/x
  3. Step 3: Cross multiply
    23,567.12x = 35,343.16 × 7,769.20
  4. Step 4: Simplify right side
    23,567.12x = 274,588,059.25
  5. Step 5: Solve for x
    x = 274,588,059.25/23,567.12
  6. Step 6: Final answer
    x = 11,651.32

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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.