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Finding the Fourth Proportional to 24,423.05, 36,634.17 and 7,782.86

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Solution

The fourth proportional to 24,423.05, 36,634.17 and 7,782.86 is: 11,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.05 : 36,634.17 = 7,782.86 : x
  2. Step 2: Convert to fraction form
    24,423.05/36,634.17 = 7,782.86/x
  3. Step 3: Cross multiply
    24,423.05x = 36,634.17 × 7,782.86
  4. Step 4: Simplify right side
    24,423.05x = 285,118,394.24
  5. Step 5: Solve for x
    x = 285,118,394.24/24,423.05
  6. Step 6: Final answer
    x = 11,674.15

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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.