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Finding the Fourth Proportional to 19,829.26, 29,758.29 and 15,980.14

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Solution

The fourth proportional to 19,829.26, 29,758.29 and 15,980.14 is: 23,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.26 : 29,758.29 = 15,980.14 : x
  2. Step 2: Convert to fraction form
    19,829.26/29,758.29 = 15,980.14/x
  3. Step 3: Cross multiply
    19,829.26x = 29,758.29 × 15,980.14
  4. Step 4: Simplify right side
    19,829.26x = 475,541,640.36
  5. Step 5: Solve for x
    x = 475,541,640.36/19,829.26
  6. Step 6: Final answer
    x = 23,981.81

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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.