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Finding the Fourth Proportional to 24,215.49, 36,323.51 and 7,574.85

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Solution

The fourth proportional to 24,215.49, 36,323.51 and 7,574.85 is: 11,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.49 : 36,323.51 = 7,574.85 : x
  2. Step 2: Convert to fraction form
    24,215.49/36,323.51 = 7,574.85/x
  3. Step 3: Cross multiply
    24,215.49x = 36,323.51 × 7,574.85
  4. Step 4: Simplify right side
    24,215.49x = 275,145,101.85
  5. Step 5: Solve for x
    x = 275,145,101.85/24,215.49
  6. Step 6: Final answer
    x = 11,362.36

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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.