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Finding the Fourth Proportional to 34,530.34, 51,796.62 and 9,568.26

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Solution

The fourth proportional to 34,530.34, 51,796.62 and 9,568.26 is: 14,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,530.34 : 51,796.62 = 9,568.26 : x
  2. Step 2: Convert to fraction form
    34,530.34/51,796.62 = 9,568.26/x
  3. Step 3: Cross multiply
    34,530.34x = 51,796.62 × 9,568.26
  4. Step 4: Simplify right side
    34,530.34x = 495,603,527.28
  5. Step 5: Solve for x
    x = 495,603,527.28/34,530.34
  6. Step 6: Final answer
    x = 14,352.70

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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.