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Finding the Fourth Proportional to 14,691.01, 20,278.22 and 9,385.82

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Solution

The fourth proportional to 14,691.01, 20,278.22 and 9,385.82 is: 12,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.01 : 20,278.22 = 9,385.82 : x
  2. Step 2: Convert to fraction form
    14,691.01/20,278.22 = 9,385.82/x
  3. Step 3: Cross multiply
    14,691.01x = 20,278.22 × 9,385.82
  4. Step 4: Simplify right side
    14,691.01x = 190,327,722.84
  5. Step 5: Solve for x
    x = 190,327,722.84/14,691.01
  6. Step 6: Final answer
    x = 12,955.39

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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.