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Finding the Fourth Proportional to 13,439, 20,156.34 and 9,531.56

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Solution

The fourth proportional to 13,439, 20,156.34 and 9,531.56 is: 14,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439 : 20,156.34 = 9,531.56 : x
  2. Step 2: Convert to fraction form
    13,439/20,156.34 = 9,531.56/x
  3. Step 3: Cross multiply
    13,439x = 20,156.34 × 9,531.56
  4. Step 4: Simplify right side
    13,439x = 192,121,364.09
  5. Step 5: Solve for x
    x = 192,121,364.09/13,439
  6. Step 6: Final answer
    x = 14,295.81

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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.