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Finding the Fourth Proportional to 13,133.82, 19,701.69 and 3,773.46

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Solution

The fourth proportional to 13,133.82, 19,701.69 and 3,773.46 is: 5,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.82 : 19,701.69 = 3,773.46 : x
  2. Step 2: Convert to fraction form
    13,133.82/19,701.69 = 3,773.46/x
  3. Step 3: Cross multiply
    13,133.82x = 19,701.69 × 3,773.46
  4. Step 4: Simplify right side
    13,133.82x = 74,343,539.15
  5. Step 5: Solve for x
    x = 74,343,539.15/13,133.82
  6. Step 6: Final answer
    x = 5,660.47

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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.