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Finding the Fourth Proportional to 19,617.68, 29,422.26 and 7,138.01

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Solution

The fourth proportional to 19,617.68, 29,422.26 and 7,138.01 is: 10,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,617.68 : 29,422.26 = 7,138.01 : x
  2. Step 2: Convert to fraction form
    19,617.68/29,422.26 = 7,138.01/x
  3. Step 3: Cross multiply
    19,617.68x = 29,422.26 × 7,138.01
  4. Step 4: Simplify right side
    19,617.68x = 210,016,238.99
  5. Step 5: Solve for x
    x = 210,016,238.99/19,617.68
  6. Step 6: Final answer
    x = 10,705.46

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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.