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Finding the Fourth Proportional to 24,438.81, 33,726.27 and 13,828.22

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Solution

The fourth proportional to 24,438.81, 33,726.27 and 13,828.22 is: 19,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438.81 : 33,726.27 = 13,828.22 : x
  2. Step 2: Convert to fraction form
    24,438.81/33,726.27 = 13,828.22/x
  3. Step 3: Cross multiply
    24,438.81x = 33,726.27 × 13,828.22
  4. Step 4: Simplify right side
    24,438.81x = 466,374,291.04
  5. Step 5: Solve for x
    x = 466,374,291.04/24,438.81
  6. Step 6: Final answer
    x = 19,083.34

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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.