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Finding the Fourth Proportional to 19,726.83, 27,222.83 and 10,774.31

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Solution

The fourth proportional to 19,726.83, 27,222.83 and 10,774.31 is: 14,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.83 : 27,222.83 = 10,774.31 : x
  2. Step 2: Convert to fraction form
    19,726.83/27,222.83 = 10,774.31/x
  3. Step 3: Cross multiply
    19,726.83x = 27,222.83 × 10,774.31
  4. Step 4: Simplify right side
    19,726.83x = 293,307,019.51
  5. Step 5: Solve for x
    x = 293,307,019.51/19,726.83
  6. Step 6: Final answer
    x = 14,868.43

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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.