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Finding the Fourth Proportional to 21,974.84, 32,957.03 and 9,488.03

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Solution

The fourth proportional to 21,974.84, 32,957.03 and 9,488.03 is: 14,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.84 : 32,957.03 = 9,488.03 : x
  2. Step 2: Convert to fraction form
    21,974.84/32,957.03 = 9,488.03/x
  3. Step 3: Cross multiply
    21,974.84x = 32,957.03 × 9,488.03
  4. Step 4: Simplify right side
    21,974.84x = 312,697,395.46
  5. Step 5: Solve for x
    x = 312,697,395.46/21,974.84
  6. Step 6: Final answer
    x = 14,229.79

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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.