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Finding the Fourth Proportional to 16,034.34, 24,056.78 and 7,713.26

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Solution

The fourth proportional to 16,034.34, 24,056.78 and 7,713.26 is: 11,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.34 : 24,056.78 = 7,713.26 : x
  2. Step 2: Convert to fraction form
    16,034.34/24,056.78 = 7,713.26/x
  3. Step 3: Cross multiply
    16,034.34x = 24,056.78 × 7,713.26
  4. Step 4: Simplify right side
    16,034.34x = 185,556,040.05
  5. Step 5: Solve for x
    x = 185,556,040.05/16,034.34
  6. Step 6: Final answer
    x = 11,572.42

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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.