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Finding the Fourth Proportional to 15,633.84, 21,571.80 and 9,344.88

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Solution

The fourth proportional to 15,633.84, 21,571.80 and 9,344.88 is: 12,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.84 : 21,571.80 = 9,344.88 : x
  2. Step 2: Convert to fraction form
    15,633.84/21,571.80 = 9,344.88/x
  3. Step 3: Cross multiply
    15,633.84x = 21,571.80 × 9,344.88
  4. Step 4: Simplify right side
    15,633.84x = 201,585,882.38
  5. Step 5: Solve for x
    x = 201,585,882.38/15,633.84
  6. Step 6: Final answer
    x = 12,894.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.