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Finding the Fourth Proportional to 24,509.74, 36,768.27 and 11,363.44

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Solution

The fourth proportional to 24,509.74, 36,768.27 and 11,363.44 is: 17,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.74 : 36,768.27 = 11,363.44 : x
  2. Step 2: Convert to fraction form
    24,509.74/36,768.27 = 11,363.44/x
  3. Step 3: Cross multiply
    24,509.74x = 36,768.27 × 11,363.44
  4. Step 4: Simplify right side
    24,509.74x = 417,814,030.05
  5. Step 5: Solve for x
    x = 417,814,030.05/24,509.74
  6. Step 6: Final answer
    x = 17,046.86

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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.