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Finding the Fourth Proportional to 18,102.50, 27,153.76 and 7,566.75

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Solution

The fourth proportional to 18,102.50, 27,153.76 and 7,566.75 is: 11,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.50 : 27,153.76 = 7,566.75 : x
  2. Step 2: Convert to fraction form
    18,102.50/27,153.76 = 7,566.75/x
  3. Step 3: Cross multiply
    18,102.50x = 27,153.76 × 7,566.75
  4. Step 4: Simplify right side
    18,102.50x = 205,465,577.71
  5. Step 5: Solve for x
    x = 205,465,577.71/18,102.50
  6. Step 6: Final answer
    x = 11,350.12

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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.