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Finding the Fourth Proportional to 12,100.50, 18,157.65 and 4,704

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Solution

The fourth proportional to 12,100.50, 18,157.65 and 4,704 is: 7,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.50 : 18,157.65 = 4,704 : x
  2. Step 2: Convert to fraction form
    12,100.50/18,157.65 = 4,704/x
  3. Step 3: Cross multiply
    12,100.50x = 18,157.65 × 4,704
  4. Step 4: Simplify right side
    12,100.50x = 85,413,585.60
  5. Step 5: Solve for x
    x = 85,413,585.60/12,100.50
  6. Step 6: Final answer
    x = 7,058.68

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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.