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Finding the Fourth Proportional to 21,208.84, 31,811.10 and 5,628.04

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Solution

The fourth proportional to 21,208.84, 31,811.10 and 5,628.04 is: 8,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.84 : 31,811.10 = 5,628.04 : x
  2. Step 2: Convert to fraction form
    21,208.84/31,811.10 = 5,628.04/x
  3. Step 3: Cross multiply
    21,208.84x = 31,811.10 × 5,628.04
  4. Step 4: Simplify right side
    21,208.84x = 179,034,143.24
  5. Step 5: Solve for x
    x = 179,034,143.24/21,208.84
  6. Step 6: Final answer
    x = 8,441.49

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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.