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Finding the Fourth Proportional to 15,201.11, 22,801.75 and 6,871.38

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Solution

The fourth proportional to 15,201.11, 22,801.75 and 6,871.38 is: 10,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.11 : 22,801.75 = 6,871.38 : x
  2. Step 2: Convert to fraction form
    15,201.11/22,801.75 = 6,871.38/x
  3. Step 3: Cross multiply
    15,201.11x = 22,801.75 × 6,871.38
  4. Step 4: Simplify right side
    15,201.11x = 156,679,373.35
  5. Step 5: Solve for x
    x = 156,679,373.35/15,201.11
  6. Step 6: Final answer
    x = 10,307.10

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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.