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Finding the Fourth Proportional to 19,829.95, 29,743.38 and 7,344.10

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Solution

The fourth proportional to 19,829.95, 29,743.38 and 7,344.10 is: 11,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.95 : 29,743.38 = 7,344.10 : x
  2. Step 2: Convert to fraction form
    19,829.95/29,743.38 = 7,344.10/x
  3. Step 3: Cross multiply
    19,829.95x = 29,743.38 × 7,344.10
  4. Step 4: Simplify right side
    19,829.95x = 218,438,357.06
  5. Step 5: Solve for x
    x = 218,438,357.06/19,829.95
  6. Step 6: Final answer
    x = 11,015.58

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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.