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Finding the Fourth Proportional to 24,144, 36,220.86 and 8,349.64

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Solution

The fourth proportional to 24,144, 36,220.86 and 8,349.64 is: 12,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144 : 36,220.86 = 8,349.64 : x
  2. Step 2: Convert to fraction form
    24,144/36,220.86 = 8,349.64/x
  3. Step 3: Cross multiply
    24,144x = 36,220.86 × 8,349.64
  4. Step 4: Simplify right side
    24,144x = 302,431,141.49
  5. Step 5: Solve for x
    x = 302,431,141.49/24,144
  6. Step 6: Final answer
    x = 12,526.14

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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.