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Finding the Fourth Proportional to 13,671.56, 18,868.47 and 7,704.65

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Solution

The fourth proportional to 13,671.56, 18,868.47 and 7,704.65 is: 10,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.56 : 18,868.47 = 7,704.65 : x
  2. Step 2: Convert to fraction form
    13,671.56/18,868.47 = 7,704.65/x
  3. Step 3: Cross multiply
    13,671.56x = 18,868.47 × 7,704.65
  4. Step 4: Simplify right side
    13,671.56x = 145,374,957.39
  5. Step 5: Solve for x
    x = 145,374,957.39/13,671.56
  6. Step 6: Final answer
    x = 10,633.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.