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Finding the Fourth Proportional to 13,818.76, 20,728.02 and 3,430.50

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Solution

The fourth proportional to 13,818.76, 20,728.02 and 3,430.50 is: 5,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.76 : 20,728.02 = 3,430.50 : x
  2. Step 2: Convert to fraction form
    13,818.76/20,728.02 = 3,430.50/x
  3. Step 3: Cross multiply
    13,818.76x = 20,728.02 × 3,430.50
  4. Step 4: Simplify right side
    13,818.76x = 71,107,472.61
  5. Step 5: Solve for x
    x = 71,107,472.61/13,818.76
  6. Step 6: Final answer
    x = 5,145.72

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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.