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Finding the Fourth Proportional to 25,772.40, 38,653.74 and 12,616.38

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Solution

The fourth proportional to 25,772.40, 38,653.74 and 12,616.38 is: 18,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.40 : 38,653.74 = 12,616.38 : x
  2. Step 2: Convert to fraction form
    25,772.40/38,653.74 = 12,616.38/x
  3. Step 3: Cross multiply
    25,772.40x = 38,653.74 × 12,616.38
  4. Step 4: Simplify right side
    25,772.40x = 487,670,272.26
  5. Step 5: Solve for x
    x = 487,670,272.26/25,772.40
  6. Step 6: Final answer
    x = 18,922.19

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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.