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Finding the Fourth Proportional to 25,696.95, 38,551.56 and 8,166.81

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Solution

The fourth proportional to 25,696.95, 38,551.56 and 8,166.81 is: 12,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.95 : 38,551.56 = 8,166.81 : x
  2. Step 2: Convert to fraction form
    25,696.95/38,551.56 = 8,166.81/x
  3. Step 3: Cross multiply
    25,696.95x = 38,551.56 × 8,166.81
  4. Step 4: Simplify right side
    25,696.95x = 314,843,265.72
  5. Step 5: Solve for x
    x = 314,843,265.72/25,696.95
  6. Step 6: Final answer
    x = 12,252.16

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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.