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Finding the Fourth Proportional to 20,201.17, 30,307.93 and 10,347.42

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Solution

The fourth proportional to 20,201.17, 30,307.93 and 10,347.42 is: 15,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.17 : 30,307.93 = 10,347.42 : x
  2. Step 2: Convert to fraction form
    20,201.17/30,307.93 = 10,347.42/x
  3. Step 3: Cross multiply
    20,201.17x = 30,307.93 × 10,347.42
  4. Step 4: Simplify right side
    20,201.17x = 313,608,881.04
  5. Step 5: Solve for x
    x = 313,608,881.04/20,201.17
  6. Step 6: Final answer
    x = 15,524.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.