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Finding the Fourth Proportional to 25,697.32, 35,461.42 and 15,086.68

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Solution

The fourth proportional to 25,697.32, 35,461.42 and 15,086.68 is: 20,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.32 : 35,461.42 = 15,086.68 : x
  2. Step 2: Convert to fraction form
    25,697.32/35,461.42 = 15,086.68/x
  3. Step 3: Cross multiply
    25,697.32x = 35,461.42 × 15,086.68
  4. Step 4: Simplify right side
    25,697.32x = 534,995,095.89
  5. Step 5: Solve for x
    x = 534,995,095.89/25,697.32
  6. Step 6: Final answer
    x = 20,819.10

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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.