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Finding the Fourth Proportional to 25,486.16, 38,214.84 and 10,489.10

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Solution

The fourth proportional to 25,486.16, 38,214.84 and 10,489.10 is: 15,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,486.16 : 38,214.84 = 10,489.10 : x
  2. Step 2: Convert to fraction form
    25,486.16/38,214.84 = 10,489.10/x
  3. Step 3: Cross multiply
    25,486.16x = 38,214.84 × 10,489.10
  4. Step 4: Simplify right side
    25,486.16x = 400,839,278.24
  5. Step 5: Solve for x
    x = 400,839,278.24/25,486.16
  6. Step 6: Final answer
    x = 15,727.72

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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.