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Finding the Fourth Proportional to 27,534.96, 41,302.26 and 7,813.53

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Solution

The fourth proportional to 27,534.96, 41,302.26 and 7,813.53 is: 11,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.96 : 41,302.26 = 7,813.53 : x
  2. Step 2: Convert to fraction form
    27,534.96/41,302.26 = 7,813.53/x
  3. Step 3: Cross multiply
    27,534.96x = 41,302.26 × 7,813.53
  4. Step 4: Simplify right side
    27,534.96x = 322,716,447.58
  5. Step 5: Solve for x
    x = 322,716,447.58/27,534.96
  6. Step 6: Final answer
    x = 11,720.24

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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.