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Finding the Fourth Proportional to 11,830.32, 17,748.24 and 4,039.14

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Solution

The fourth proportional to 11,830.32, 17,748.24 and 4,039.14 is: 6,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.32 : 17,748.24 = 4,039.14 : x
  2. Step 2: Convert to fraction form
    11,830.32/17,748.24 = 4,039.14/x
  3. Step 3: Cross multiply
    11,830.32x = 17,748.24 × 4,039.14
  4. Step 4: Simplify right side
    11,830.32x = 71,687,626.11
  5. Step 5: Solve for x
    x = 71,687,626.11/11,830.32
  6. Step 6: Final answer
    x = 6,059.65

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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.