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Finding the Fourth Proportional to 35,351.77, 53,016.38 and 11,654.90

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Solution

The fourth proportional to 35,351.77, 53,016.38 and 11,654.90 is: 17,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,351.77 : 53,016.38 = 11,654.90 : x
  2. Step 2: Convert to fraction form
    35,351.77/53,016.38 = 11,654.90/x
  3. Step 3: Cross multiply
    35,351.77x = 53,016.38 × 11,654.90
  4. Step 4: Simplify right side
    35,351.77x = 617,900,283.91
  5. Step 5: Solve for x
    x = 617,900,283.91/35,351.77
  6. Step 6: Final answer
    x = 17,478.63

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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.