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Finding the Fourth Proportional to 19,862.97, 29,780.03 and 9,327.57

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Solution

The fourth proportional to 19,862.97, 29,780.03 and 9,327.57 is: 13,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.97 : 29,780.03 = 9,327.57 : x
  2. Step 2: Convert to fraction form
    19,862.97/29,780.03 = 9,327.57/x
  3. Step 3: Cross multiply
    19,862.97x = 29,780.03 × 9,327.57
  4. Step 4: Simplify right side
    19,862.97x = 277,775,314.43
  5. Step 5: Solve for x
    x = 277,775,314.43/19,862.97
  6. Step 6: Final answer
    x = 13,984.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.