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Finding the Fourth Proportional to 12,031.90, 18,041.24 and 3,709.60

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Solution

The fourth proportional to 12,031.90, 18,041.24 and 3,709.60 is: 5,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.90 : 18,041.24 = 3,709.60 : x
  2. Step 2: Convert to fraction form
    12,031.90/18,041.24 = 3,709.60/x
  3. Step 3: Cross multiply
    12,031.90x = 18,041.24 × 3,709.60
  4. Step 4: Simplify right side
    12,031.90x = 66,925,828.69
  5. Step 5: Solve for x
    x = 66,925,828.69/12,031.90
  6. Step 6: Final answer
    x = 5,562.37

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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.