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Finding the Fourth Proportional to 16,523.71, 22,801.20 and 9,808.18

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Solution

The fourth proportional to 16,523.71, 22,801.20 and 9,808.18 is: 13,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.71 : 22,801.20 = 9,808.18 : x
  2. Step 2: Convert to fraction form
    16,523.71/22,801.20 = 9,808.18/x
  3. Step 3: Cross multiply
    16,523.71x = 22,801.20 × 9,808.18
  4. Step 4: Simplify right side
    16,523.71x = 223,638,273.82
  5. Step 5: Solve for x
    x = 223,638,273.82/16,523.71
  6. Step 6: Final answer
    x = 13,534.39

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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.