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Finding the Fourth Proportional to 27,241.70, 40,862.55 and 9,705.20

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Solution

The fourth proportional to 27,241.70, 40,862.55 and 9,705.20 is: 14,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241.70 : 40,862.55 = 9,705.20 : x
  2. Step 2: Convert to fraction form
    27,241.70/40,862.55 = 9,705.20/x
  3. Step 3: Cross multiply
    27,241.70x = 40,862.55 × 9,705.20
  4. Step 4: Simplify right side
    27,241.70x = 396,579,220.26
  5. Step 5: Solve for x
    x = 396,579,220.26/27,241.70
  6. Step 6: Final answer
    x = 14,557.80

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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.