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Finding the Fourth Proportional to 18,385.69, 27,580.18 and 7,140.77

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Solution

The fourth proportional to 18,385.69, 27,580.18 and 7,140.77 is: 10,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,385.69 : 27,580.18 = 7,140.77 : x
  2. Step 2: Convert to fraction form
    18,385.69/27,580.18 = 7,140.77/x
  3. Step 3: Cross multiply
    18,385.69x = 27,580.18 × 7,140.77
  4. Step 4: Simplify right side
    18,385.69x = 196,943,592.96
  5. Step 5: Solve for x
    x = 196,943,592.96/18,385.69
  6. Step 6: Final answer
    x = 10,711.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.