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Finding the Fourth Proportional to 25,807.42, 38,712.93 and 10,225

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Solution

The fourth proportional to 25,807.42, 38,712.93 and 10,225 is: 15,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.42 : 38,712.93 = 10,225 : x
  2. Step 2: Convert to fraction form
    25,807.42/38,712.93 = 10,225/x
  3. Step 3: Cross multiply
    25,807.42x = 38,712.93 × 10,225
  4. Step 4: Simplify right side
    25,807.42x = 395,839,709.25
  5. Step 5: Solve for x
    x = 395,839,709.25/25,807.42
  6. Step 6: Final answer
    x = 15,338.21

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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.