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Finding the Fourth Proportional to 25,828, 35,626 and 15,892.64

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Solution

The fourth proportional to 25,828, 35,626 and 15,892.64 is: 21,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,828 : 35,626 = 15,892.64 : x
  2. Step 2: Convert to fraction form
    25,828/35,626 = 15,892.64/x
  3. Step 3: Cross multiply
    25,828x = 35,626 × 15,892.64
  4. Step 4: Simplify right side
    25,828x = 566,191,192.64
  5. Step 5: Solve for x
    x = 566,191,192.64/25,828
  6. Step 6: Final answer
    x = 21,921.60

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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.