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Finding the Fourth Proportional to 22,704.60, 34,040.70 and 10,214.40

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Solution

The fourth proportional to 22,704.60, 34,040.70 and 10,214.40 is: 15,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704.60 : 34,040.70 = 10,214.40 : x
  2. Step 2: Convert to fraction form
    22,704.60/34,040.70 = 10,214.40/x
  3. Step 3: Cross multiply
    22,704.60x = 34,040.70 × 10,214.40
  4. Step 4: Simplify right side
    22,704.60x = 347,705,326.08
  5. Step 5: Solve for x
    x = 347,705,326.08/22,704.60
  6. Step 6: Final answer
    x = 15,314.31

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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.