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Finding the Fourth Proportional to 19,952.06, 29,932.96 and 6,101.06

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Solution

The fourth proportional to 19,952.06, 29,932.96 and 6,101.06 is: 9,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.06 : 29,932.96 = 6,101.06 : x
  2. Step 2: Convert to fraction form
    19,952.06/29,932.96 = 6,101.06/x
  3. Step 3: Cross multiply
    19,952.06x = 29,932.96 × 6,101.06
  4. Step 4: Simplify right side
    19,952.06x = 182,622,784.94
  5. Step 5: Solve for x
    x = 182,622,784.94/19,952.06
  6. Step 6: Final answer
    x = 9,153.08

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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.