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Finding the Fourth Proportional to 23,451.40, 35,177.46 and 7,869.16

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Solution

The fourth proportional to 23,451.40, 35,177.46 and 7,869.16 is: 11,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.40 : 35,177.46 = 7,869.16 : x
  2. Step 2: Convert to fraction form
    23,451.40/35,177.46 = 7,869.16/x
  3. Step 3: Cross multiply
    23,451.40x = 35,177.46 × 7,869.16
  4. Step 4: Simplify right side
    23,451.40x = 276,817,061.13
  5. Step 5: Solve for x
    x = 276,817,061.13/23,451.40
  6. Step 6: Final answer
    x = 11,803.86

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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.