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Finding the Fourth Proportional to 13,726.90, 18,942.96 and 7,758.82

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Solution

The fourth proportional to 13,726.90, 18,942.96 and 7,758.82 is: 10,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.90 : 18,942.96 = 7,758.82 : x
  2. Step 2: Convert to fraction form
    13,726.90/18,942.96 = 7,758.82/x
  3. Step 3: Cross multiply
    13,726.90x = 18,942.96 × 7,758.82
  4. Step 4: Simplify right side
    13,726.90x = 146,975,016.91
  5. Step 5: Solve for x
    x = 146,975,016.91/13,726.90
  6. Step 6: Final answer
    x = 10,707.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.