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Finding the Fourth Proportional to 24,523.84, 36,782.25 and 7,881.68

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Solution

The fourth proportional to 24,523.84, 36,782.25 and 7,881.68 is: 11,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.84 : 36,782.25 = 7,881.68 : x
  2. Step 2: Convert to fraction form
    24,523.84/36,782.25 = 7,881.68/x
  3. Step 3: Cross multiply
    24,523.84x = 36,782.25 × 7,881.68
  4. Step 4: Simplify right side
    24,523.84x = 289,905,924.18
  5. Step 5: Solve for x
    x = 289,905,924.18/24,523.84
  6. Step 6: Final answer
    x = 11,821.39

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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.