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Finding the Fourth Proportional to 16,522, 22,801.84 and 9,071.44

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Solution

The fourth proportional to 16,522, 22,801.84 and 9,071.44 is: 12,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522 : 22,801.84 = 9,071.44 : x
  2. Step 2: Convert to fraction form
    16,522/22,801.84 = 9,071.44/x
  3. Step 3: Cross multiply
    16,522x = 22,801.84 × 9,071.44
  4. Step 4: Simplify right side
    16,522x = 206,845,523.45
  5. Step 5: Solve for x
    x = 206,845,523.45/16,522
  6. Step 6: Final answer
    x = 12,519.40

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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.