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Finding the Fourth Proportional to 23,051.85, 34,578.51 and 9,011.31

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Solution

The fourth proportional to 23,051.85, 34,578.51 and 9,011.31 is: 13,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.85 : 34,578.51 = 9,011.31 : x
  2. Step 2: Convert to fraction form
    23,051.85/34,578.51 = 9,011.31/x
  3. Step 3: Cross multiply
    23,051.85x = 34,578.51 × 9,011.31
  4. Step 4: Simplify right side
    23,051.85x = 311,597,672.95
  5. Step 5: Solve for x
    x = 311,597,672.95/23,051.85
  6. Step 6: Final answer
    x = 13,517.25

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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.