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Finding the Fourth Proportional to 22,156.52, 30,575.25 and 13,199.39

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Solution

The fourth proportional to 22,156.52, 30,575.25 and 13,199.39 is: 18,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156.52 : 30,575.25 = 13,199.39 : x
  2. Step 2: Convert to fraction form
    22,156.52/30,575.25 = 13,199.39/x
  3. Step 3: Cross multiply
    22,156.52x = 30,575.25 × 13,199.39
  4. Step 4: Simplify right side
    22,156.52x = 403,574,496.22
  5. Step 5: Solve for x
    x = 403,574,496.22/22,156.52
  6. Step 6: Final answer
    x = 18,214.70

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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.