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Finding the Fourth Proportional to 24,423.66, 36,635.78 and 7,783.60

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Solution

The fourth proportional to 24,423.66, 36,635.78 and 7,783.60 is: 11,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.66 : 36,635.78 = 7,783.60 : x
  2. Step 2: Convert to fraction form
    24,423.66/36,635.78 = 7,783.60/x
  3. Step 3: Cross multiply
    24,423.66x = 36,635.78 × 7,783.60
  4. Step 4: Simplify right side
    24,423.66x = 285,158,257.21
  5. Step 5: Solve for x
    x = 285,158,257.21/24,423.66
  6. Step 6: Final answer
    x = 11,675.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.