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Finding the Fourth Proportional to 24,038.84, 33,174.29 and 13,428.25

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Solution

The fourth proportional to 24,038.84, 33,174.29 and 13,428.25 is: 18,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038.84 : 33,174.29 = 13,428.25 : x
  2. Step 2: Convert to fraction form
    24,038.84/33,174.29 = 13,428.25/x
  3. Step 3: Cross multiply
    24,038.84x = 33,174.29 × 13,428.25
  4. Step 4: Simplify right side
    24,038.84x = 445,472,610.33
  5. Step 5: Solve for x
    x = 445,472,610.33/24,038.84
  6. Step 6: Final answer
    x = 18,531.37

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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.