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Finding the Fourth Proportional to 20,774.88, 31,112.64 and 11,400.48

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Solution

The fourth proportional to 20,774.88, 31,112.64 and 11,400.48 is: 17,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.88 : 31,112.64 = 11,400.48 : x
  2. Step 2: Convert to fraction form
    20,774.88/31,112.64 = 11,400.48/x
  3. Step 3: Cross multiply
    20,774.88x = 31,112.64 × 11,400.48
  4. Step 4: Simplify right side
    20,774.88x = 354,699,030.07
  5. Step 5: Solve for x
    x = 354,699,030.07/20,774.88
  6. Step 6: Final answer
    x = 17,073.46

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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.