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Finding the Fourth Proportional to 23,209.68, 34,810.92 and 7,627.20

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Solution

The fourth proportional to 23,209.68, 34,810.92 and 7,627.20 is: 11,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.68 : 34,810.92 = 7,627.20 : x
  2. Step 2: Convert to fraction form
    23,209.68/34,810.92 = 7,627.20/x
  3. Step 3: Cross multiply
    23,209.68x = 34,810.92 × 7,627.20
  4. Step 4: Simplify right side
    23,209.68x = 265,509,849.02
  5. Step 5: Solve for x
    x = 265,509,849.02/23,209.68
  6. Step 6: Final answer
    x = 11,439.62

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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.