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Finding the Fourth Proportional to 15,429.90, 23,144.85 and 3,743.11

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Solution

The fourth proportional to 15,429.90, 23,144.85 and 3,743.11 is: 5,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429.90 : 23,144.85 = 3,743.11 : x
  2. Step 2: Convert to fraction form
    15,429.90/23,144.85 = 3,743.11/x
  3. Step 3: Cross multiply
    15,429.90x = 23,144.85 × 3,743.11
  4. Step 4: Simplify right side
    15,429.90x = 86,633,719.48
  5. Step 5: Solve for x
    x = 86,633,719.48/15,429.90
  6. Step 6: Final answer
    x = 5,614.67

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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.