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Finding the Fourth Proportional to 19,726.96, 27,223 and 10,774.84

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Solution

The fourth proportional to 19,726.96, 27,223 and 10,774.84 is: 14,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.96 : 27,223 = 10,774.84 : x
  2. Step 2: Convert to fraction form
    19,726.96/27,223 = 10,774.84/x
  3. Step 3: Cross multiply
    19,726.96x = 27,223 × 10,774.84
  4. Step 4: Simplify right side
    19,726.96x = 293,323,469.32
  5. Step 5: Solve for x
    x = 293,323,469.32/19,726.96
  6. Step 6: Final answer
    x = 14,869.17

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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.