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Finding the Fourth Proportional to 19,665.80, 29,493.54 and 13,424.66

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Solution

The fourth proportional to 19,665.80, 29,493.54 and 13,424.66 is: 20,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.80 : 29,493.54 = 13,424.66 : x
  2. Step 2: Convert to fraction form
    19,665.80/29,493.54 = 13,424.66/x
  3. Step 3: Cross multiply
    19,665.80x = 29,493.54 × 13,424.66
  4. Step 4: Simplify right side
    19,665.80x = 395,940,746.70
  5. Step 5: Solve for x
    x = 395,940,746.70/19,665.80
  6. Step 6: Final answer
    x = 20,133.47

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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.