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Finding the Fourth Proportional to 24,424.20, 36,636.57 and 7,784.10

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Solution

The fourth proportional to 24,424.20, 36,636.57 and 7,784.10 is: 11,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.20 : 36,636.57 = 7,784.10 : x
  2. Step 2: Convert to fraction form
    24,424.20/36,636.57 = 7,784.10/x
  3. Step 3: Cross multiply
    24,424.20x = 36,636.57 × 7,784.10
  4. Step 4: Simplify right side
    24,424.20x = 285,182,724.54
  5. Step 5: Solve for x
    x = 285,182,724.54/24,424.20
  6. Step 6: Final answer
    x = 11,676.24

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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.