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Finding the Fourth Proportional to 34,476.12, 51,713.15 and 9,517.69

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Solution

The fourth proportional to 34,476.12, 51,713.15 and 9,517.69 is: 14,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476.12 : 51,713.15 = 9,517.69 : x
  2. Step 2: Convert to fraction form
    34,476.12/51,713.15 = 9,517.69/x
  3. Step 3: Cross multiply
    34,476.12x = 51,713.15 × 9,517.69
  4. Step 4: Simplify right side
    34,476.12x = 492,189,730.62
  5. Step 5: Solve for x
    x = 492,189,730.62/34,476.12
  6. Step 6: Final answer
    x = 14,276.25

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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.