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Finding the Fourth Proportional to 12,057.50, 18,088.30 and 4,157.87

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Solution

The fourth proportional to 12,057.50, 18,088.30 and 4,157.87 is: 6,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.50 : 18,088.30 = 4,157.87 : x
  2. Step 2: Convert to fraction form
    12,057.50/18,088.30 = 4,157.87/x
  3. Step 3: Cross multiply
    12,057.50x = 18,088.30 × 4,157.87
  4. Step 4: Simplify right side
    12,057.50x = 75,208,834.75
  5. Step 5: Solve for x
    x = 75,208,834.75/12,057.50
  6. Step 6: Final answer
    x = 6,237.51

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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.