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Finding the Fourth Proportional to 19,398.40, 29,099.16 and 9,400.24

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Solution

The fourth proportional to 19,398.40, 29,099.16 and 9,400.24 is: 14,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398.40 : 29,099.16 = 9,400.24 : x
  2. Step 2: Convert to fraction form
    19,398.40/29,099.16 = 9,400.24/x
  3. Step 3: Cross multiply
    19,398.40x = 29,099.16 × 9,400.24
  4. Step 4: Simplify right side
    19,398.40x = 273,539,087.80
  5. Step 5: Solve for x
    x = 273,539,087.80/19,398.40
  6. Step 6: Final answer
    x = 14,101.12

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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.