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Finding the Fourth Proportional to 23,343.04, 35,014.02 and 7,760.80

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Solution

The fourth proportional to 23,343.04, 35,014.02 and 7,760.80 is: 11,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,343.04 : 35,014.02 = 7,760.80 : x
  2. Step 2: Convert to fraction form
    23,343.04/35,014.02 = 7,760.80/x
  3. Step 3: Cross multiply
    23,343.04x = 35,014.02 × 7,760.80
  4. Step 4: Simplify right side
    23,343.04x = 271,736,806.42
  5. Step 5: Solve for x
    x = 271,736,806.42/23,343.04
  6. Step 6: Final answer
    x = 11,641.02

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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.