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Finding the Fourth Proportional to 24,426.32, 36,637.44 and 7,785.68

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Solution

The fourth proportional to 24,426.32, 36,637.44 and 7,785.68 is: 11,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426.32 : 36,637.44 = 7,785.68 : x
  2. Step 2: Convert to fraction form
    24,426.32/36,637.44 = 7,785.68/x
  3. Step 3: Cross multiply
    24,426.32x = 36,637.44 × 7,785.68
  4. Step 4: Simplify right side
    24,426.32x = 285,247,383.86
  5. Step 5: Solve for x
    x = 285,247,383.86/24,426.32
  6. Step 6: Final answer
    x = 11,677.87

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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.