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Finding the Fourth Proportional to 25,724.32, 35,493.84 and 15,658

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Solution

The fourth proportional to 25,724.32, 35,493.84 and 15,658 is: 21,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,724.32 : 35,493.84 = 15,658 : x
  2. Step 2: Convert to fraction form
    25,724.32/35,493.84 = 15,658/x
  3. Step 3: Cross multiply
    25,724.32x = 35,493.84 × 15,658
  4. Step 4: Simplify right side
    25,724.32x = 555,762,546.72
  5. Step 5: Solve for x
    x = 555,762,546.72/25,724.32
  6. Step 6: Final answer
    x = 21,604.56

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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.