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Finding the Fourth Proportional to 15,311.66, 23,010.84 and 9,072.86

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Solution

The fourth proportional to 15,311.66, 23,010.84 and 9,072.86 is: 13,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.66 : 23,010.84 = 9,072.86 : x
  2. Step 2: Convert to fraction form
    15,311.66/23,010.84 = 9,072.86/x
  3. Step 3: Cross multiply
    15,311.66x = 23,010.84 × 9,072.86
  4. Step 4: Simplify right side
    15,311.66x = 208,774,014.75
  5. Step 5: Solve for x
    x = 208,774,014.75/15,311.66
  6. Step 6: Final answer
    x = 13,634.97

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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.