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Finding the Fourth Proportional to 29,720.30, 41,014.44 and 17,784.14

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Solution

The fourth proportional to 29,720.30, 41,014.44 and 17,784.14 is: 24,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720.30 : 41,014.44 = 17,784.14 : x
  2. Step 2: Convert to fraction form
    29,720.30/41,014.44 = 17,784.14/x
  3. Step 3: Cross multiply
    29,720.30x = 41,014.44 × 17,784.14
  4. Step 4: Simplify right side
    29,720.30x = 729,406,542.98
  5. Step 5: Solve for x
    x = 729,406,542.98/29,720.30
  6. Step 6: Final answer
    x = 24,542.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.