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Finding the Fourth Proportional to 20,277.64, 27,967.32 and 13,010.42

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Solution

The fourth proportional to 20,277.64, 27,967.32 and 13,010.42 is: 17,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.64 : 27,967.32 = 13,010.42 : x
  2. Step 2: Convert to fraction form
    20,277.64/27,967.32 = 13,010.42/x
  3. Step 3: Cross multiply
    20,277.64x = 27,967.32 × 13,010.42
  4. Step 4: Simplify right side
    20,277.64x = 363,866,649.39
  5. Step 5: Solve for x
    x = 363,866,649.39/20,277.64
  6. Step 6: Final answer
    x = 17,944.23

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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.