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Finding the Fourth Proportional to 19,686.99, 29,497.70 and 13,833.12

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Solution

The fourth proportional to 19,686.99, 29,497.70 and 13,833.12 is: 20,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.99 : 29,497.70 = 13,833.12 : x
  2. Step 2: Convert to fraction form
    19,686.99/29,497.70 = 13,833.12/x
  3. Step 3: Cross multiply
    19,686.99x = 29,497.70 × 13,833.12
  4. Step 4: Simplify right side
    19,686.99x = 408,045,154.66
  5. Step 5: Solve for x
    x = 408,045,154.66/19,686.99
  6. Step 6: Final answer
    x = 20,726.64

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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.