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Finding the Fourth Proportional to 23,114.26, 34,675.72 and 9,264.34

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Solution

The fourth proportional to 23,114.26, 34,675.72 and 9,264.34 is: 13,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.26 : 34,675.72 = 9,264.34 : x
  2. Step 2: Convert to fraction form
    23,114.26/34,675.72 = 9,264.34/x
  3. Step 3: Cross multiply
    23,114.26x = 34,675.72 × 9,264.34
  4. Step 4: Simplify right side
    23,114.26x = 321,247,659.82
  5. Step 5: Solve for x
    x = 321,247,659.82/23,114.26
  6. Step 6: Final answer
    x = 13,898.25

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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.