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Finding the Fourth Proportional to 13,688.40, 20,531.16 and 5,896.08

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Solution

The fourth proportional to 13,688.40, 20,531.16 and 5,896.08 is: 8,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.40 : 20,531.16 = 5,896.08 : x
  2. Step 2: Convert to fraction form
    13,688.40/20,531.16 = 5,896.08/x
  3. Step 3: Cross multiply
    13,688.40x = 20,531.16 × 5,896.08
  4. Step 4: Simplify right side
    13,688.40x = 121,053,361.85
  5. Step 5: Solve for x
    x = 121,053,361.85/13,688.40
  6. Step 6: Final answer
    x = 8,843.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.