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Finding the Fourth Proportional to 19,453.68, 29,185.14 and 6,306.06

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Solution

The fourth proportional to 19,453.68, 29,185.14 and 6,306.06 is: 9,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453.68 : 29,185.14 = 6,306.06 : x
  2. Step 2: Convert to fraction form
    19,453.68/29,185.14 = 6,306.06/x
  3. Step 3: Cross multiply
    19,453.68x = 29,185.14 × 6,306.06
  4. Step 4: Simplify right side
    19,453.68x = 184,043,243.95
  5. Step 5: Solve for x
    x = 184,043,243.95/19,453.68
  6. Step 6: Final answer
    x = 9,460.59

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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.