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Finding the Fourth Proportional to 25,396.58, 38,083.80 and 7,862.32

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Solution

The fourth proportional to 25,396.58, 38,083.80 and 7,862.32 is: 11,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396.58 : 38,083.80 = 7,862.32 : x
  2. Step 2: Convert to fraction form
    25,396.58/38,083.80 = 7,862.32/x
  3. Step 3: Cross multiply
    25,396.58x = 38,083.80 × 7,862.32
  4. Step 4: Simplify right side
    25,396.58x = 299,427,022.42
  5. Step 5: Solve for x
    x = 299,427,022.42/25,396.58
  6. Step 6: Final answer
    x = 11,790.05

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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.