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Finding the Fourth Proportional to 13,407.70, 20,111.57 and 6,838.50

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Solution

The fourth proportional to 13,407.70, 20,111.57 and 6,838.50 is: 10,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.70 : 20,111.57 = 6,838.50 : x
  2. Step 2: Convert to fraction form
    13,407.70/20,111.57 = 6,838.50/x
  3. Step 3: Cross multiply
    13,407.70x = 20,111.57 × 6,838.50
  4. Step 4: Simplify right side
    13,407.70x = 137,532,962.52
  5. Step 5: Solve for x
    x = 137,532,962.52/13,407.70
  6. Step 6: Final answer
    x = 10,257.76

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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.