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Finding the Fourth Proportional to 11,824.65, 17,761.41 and 11,430.99

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Solution

The fourth proportional to 11,824.65, 17,761.41 and 11,430.99 is: 17,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.65 : 17,761.41 = 11,430.99 : x
  2. Step 2: Convert to fraction form
    11,824.65/17,761.41 = 11,430.99/x
  3. Step 3: Cross multiply
    11,824.65x = 17,761.41 × 11,430.99
  4. Step 4: Simplify right side
    11,824.65x = 203,030,500.10
  5. Step 5: Solve for x
    x = 203,030,500.10/11,824.65
  6. Step 6: Final answer
    x = 17,170.11

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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.