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Finding the Fourth Proportional to 15,394.32, 23,093.94 and 6,509.73

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Solution

The fourth proportional to 15,394.32, 23,093.94 and 6,509.73 is: 9,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,394.32 : 23,093.94 = 6,509.73 : x
  2. Step 2: Convert to fraction form
    15,394.32/23,093.94 = 6,509.73/x
  3. Step 3: Cross multiply
    15,394.32x = 23,093.94 × 6,509.73
  4. Step 4: Simplify right side
    15,394.32x = 150,335,314.04
  5. Step 5: Solve for x
    x = 150,335,314.04/15,394.32
  6. Step 6: Final answer
    x = 9,765.64

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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.