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Finding the Fourth Proportional to 34,713.10, 52,069.14 and 8,418.07

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Solution

The fourth proportional to 34,713.10, 52,069.14 and 8,418.07 is: 12,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713.10 : 52,069.14 = 8,418.07 : x
  2. Step 2: Convert to fraction form
    34,713.10/52,069.14 = 8,418.07/x
  3. Step 3: Cross multiply
    34,713.10x = 52,069.14 × 8,418.07
  4. Step 4: Simplify right side
    34,713.10x = 438,321,535.19
  5. Step 5: Solve for x
    x = 438,321,535.19/34,713.10
  6. Step 6: Final answer
    x = 12,626.98

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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.