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Finding the Fourth Proportional to 25,878.49, 38,825.93 and 9,238.15

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Solution

The fourth proportional to 25,878.49, 38,825.93 and 9,238.15 is: 13,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.49 : 38,825.93 = 9,238.15 : x
  2. Step 2: Convert to fraction form
    25,878.49/38,825.93 = 9,238.15/x
  3. Step 3: Cross multiply
    25,878.49x = 38,825.93 × 9,238.15
  4. Step 4: Simplify right side
    25,878.49x = 358,679,765.23
  5. Step 5: Solve for x
    x = 358,679,765.23/25,878.49
  6. Step 6: Final answer
    x = 13,860.15

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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.