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Finding the Fourth Proportional to 24,227.84, 36,334.08 and 7,808

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Solution

The fourth proportional to 24,227.84, 36,334.08 and 7,808 is: 11,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.84 : 36,334.08 = 7,808 : x
  2. Step 2: Convert to fraction form
    24,227.84/36,334.08 = 7,808/x
  3. Step 3: Cross multiply
    24,227.84x = 36,334.08 × 7,808
  4. Step 4: Simplify right side
    24,227.84x = 283,696,496.64
  5. Step 5: Solve for x
    x = 283,696,496.64/24,227.84
  6. Step 6: Final answer
    x = 11,709.52

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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.