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Finding the Fourth Proportional to 24,424.10, 36,635.47 and 7,785.13

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Solution

The fourth proportional to 24,424.10, 36,635.47 and 7,785.13 is: 11,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.10 : 36,635.47 = 7,785.13 : x
  2. Step 2: Convert to fraction form
    24,424.10/36,635.47 = 7,785.13/x
  3. Step 3: Cross multiply
    24,424.10x = 36,635.47 × 7,785.13
  4. Step 4: Simplify right side
    24,424.10x = 285,211,857.64
  5. Step 5: Solve for x
    x = 285,211,857.64/24,424.10
  6. Step 6: Final answer
    x = 11,677.48

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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.