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Finding the Fourth Proportional to 12,157.50, 18,218.02 and 9,380.01

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Solution

The fourth proportional to 12,157.50, 18,218.02 and 9,380.01 is: 14,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.50 : 18,218.02 = 9,380.01 : x
  2. Step 2: Convert to fraction form
    12,157.50/18,218.02 = 9,380.01/x
  3. Step 3: Cross multiply
    12,157.50x = 18,218.02 × 9,380.01
  4. Step 4: Simplify right side
    12,157.50x = 170,885,209.78
  5. Step 5: Solve for x
    x = 170,885,209.78/12,157.50
  6. Step 6: Final answer
    x = 14,055.95

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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.