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Finding the Fourth Proportional to 25,757.16, 35,546.28 and 15,684

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Solution

The fourth proportional to 25,757.16, 35,546.28 and 15,684 is: 21,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.16 : 35,546.28 = 15,684 : x
  2. Step 2: Convert to fraction form
    25,757.16/35,546.28 = 15,684/x
  3. Step 3: Cross multiply
    25,757.16x = 35,546.28 × 15,684
  4. Step 4: Simplify right side
    25,757.16x = 557,507,855.52
  5. Step 5: Solve for x
    x = 557,507,855.52/25,757.16
  6. Step 6: Final answer
    x = 21,644.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.