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Finding the Fourth Proportional to 25,511.32, 38,269.14 and 7,043.32

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Solution

The fourth proportional to 25,511.32, 38,269.14 and 7,043.32 is: 10,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,511.32 : 38,269.14 = 7,043.32 : x
  2. Step 2: Convert to fraction form
    25,511.32/38,269.14 = 7,043.32/x
  3. Step 3: Cross multiply
    25,511.32x = 38,269.14 × 7,043.32
  4. Step 4: Simplify right side
    25,511.32x = 269,541,799.14
  5. Step 5: Solve for x
    x = 269,541,799.14/25,511.32
  6. Step 6: Final answer
    x = 10,565.58

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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.