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Finding the Fourth Proportional to 19,686.93, 29,497.52 and 13,833.06

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Solution

The fourth proportional to 19,686.93, 29,497.52 and 13,833.06 is: 20,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.93 : 29,497.52 = 13,833.06 : x
  2. Step 2: Convert to fraction form
    19,686.93/29,497.52 = 13,833.06/x
  3. Step 3: Cross multiply
    19,686.93x = 29,497.52 × 13,833.06
  4. Step 4: Simplify right side
    19,686.93x = 408,040,894.85
  5. Step 5: Solve for x
    x = 408,040,894.85/19,686.93
  6. Step 6: Final answer
    x = 20,726.49

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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.