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Finding the Fourth Proportional to 13,232.81, 19,859.46 and 6,901.44

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Solution

The fourth proportional to 13,232.81, 19,859.46 and 6,901.44 is: 10,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.81 : 19,859.46 = 6,901.44 : x
  2. Step 2: Convert to fraction form
    13,232.81/19,859.46 = 6,901.44/x
  3. Step 3: Cross multiply
    13,232.81x = 19,859.46 × 6,901.44
  4. Step 4: Simplify right side
    13,232.81x = 137,058,871.62
  5. Step 5: Solve for x
    x = 137,058,871.62/13,232.81
  6. Step 6: Final answer
    x = 10,357.50

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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.