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Finding the Fourth Proportional to 12,238.24, 18,357.36 and 4,030.24

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Solution

The fourth proportional to 12,238.24, 18,357.36 and 4,030.24 is: 6,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.24 : 18,357.36 = 4,030.24 : x
  2. Step 2: Convert to fraction form
    12,238.24/18,357.36 = 4,030.24/x
  3. Step 3: Cross multiply
    12,238.24x = 18,357.36 × 4,030.24
  4. Step 4: Simplify right side
    12,238.24x = 73,984,566.57
  5. Step 5: Solve for x
    x = 73,984,566.57/12,238.24
  6. Step 6: Final answer
    x = 6,045.36

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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.