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Finding the Fourth Proportional to 27,535.25, 37,998.65 and 14,960

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Solution

The fourth proportional to 27,535.25, 37,998.65 and 14,960 is: 20,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.25 : 37,998.65 = 14,960 : x
  2. Step 2: Convert to fraction form
    27,535.25/37,998.65 = 14,960/x
  3. Step 3: Cross multiply
    27,535.25x = 37,998.65 × 14,960
  4. Step 4: Simplify right side
    27,535.25x = 568,459,804
  5. Step 5: Solve for x
    x = 568,459,804/27,535.25
  6. Step 6: Final answer
    x = 20,644.80

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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.