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Finding the Fourth Proportional to 25,797.93, 38,690.40 and 9,997.53

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Solution

The fourth proportional to 25,797.93, 38,690.40 and 9,997.53 is: 14,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.93 : 38,690.40 = 9,997.53 : x
  2. Step 2: Convert to fraction form
    25,797.93/38,690.40 = 9,997.53/x
  3. Step 3: Cross multiply
    25,797.93x = 38,690.40 × 9,997.53
  4. Step 4: Simplify right side
    25,797.93x = 386,808,434.71
  5. Step 5: Solve for x
    x = 386,808,434.71/25,797.93
  6. Step 6: Final answer
    x = 14,993.78

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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.