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Finding the Fourth Proportional to 20,033, 27,646.82 and 11,201

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Solution

The fourth proportional to 20,033, 27,646.82 and 11,201 is: 15,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033 : 27,646.82 = 11,201 : x
  2. Step 2: Convert to fraction form
    20,033/27,646.82 = 11,201/x
  3. Step 3: Cross multiply
    20,033x = 27,646.82 × 11,201
  4. Step 4: Simplify right side
    20,033x = 309,672,030.82
  5. Step 5: Solve for x
    x = 309,672,030.82/20,033
  6. Step 6: Final answer
    x = 15,458.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.