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Finding the Fourth Proportional to 24,426.14, 36,641.87 and 7,782.26

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Solution

The fourth proportional to 24,426.14, 36,641.87 and 7,782.26 is: 11,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426.14 : 36,641.87 = 7,782.26 : x
  2. Step 2: Convert to fraction form
    24,426.14/36,641.87 = 7,782.26/x
  3. Step 3: Cross multiply
    24,426.14x = 36,641.87 × 7,782.26
  4. Step 4: Simplify right side
    24,426.14x = 285,156,520.31
  5. Step 5: Solve for x
    x = 285,156,520.31/24,426.14
  6. Step 6: Final answer
    x = 11,674.24

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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.