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Finding the Fourth Proportional to 25,767.66, 38,601.16 and 17,761

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Solution

The fourth proportional to 25,767.66, 38,601.16 and 17,761 is: 26,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767.66 : 38,601.16 = 17,761 : x
  2. Step 2: Convert to fraction form
    25,767.66/38,601.16 = 17,761/x
  3. Step 3: Cross multiply
    25,767.66x = 38,601.16 × 17,761
  4. Step 4: Simplify right side
    25,767.66x = 685,595,202.76
  5. Step 5: Solve for x
    x = 685,595,202.76/25,767.66
  6. Step 6: Final answer
    x = 26,606.81

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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.