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Finding the Fourth Proportional to 25,616.16, 38,428.22 and 10,825.16

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Solution

The fourth proportional to 25,616.16, 38,428.22 and 10,825.16 is: 16,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.16 : 38,428.22 = 10,825.16 : x
  2. Step 2: Convert to fraction form
    25,616.16/38,428.22 = 10,825.16/x
  3. Step 3: Cross multiply
    25,616.16x = 38,428.22 × 10,825.16
  4. Step 4: Simplify right side
    25,616.16x = 415,991,630.02
  5. Step 5: Solve for x
    x = 415,991,630.02/25,616.16
  6. Step 6: Final answer
    x = 16,239.42

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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.