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Finding the Fourth Proportional to 15,378.64, 23,054.68 and 6,138.64

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Solution

The fourth proportional to 15,378.64, 23,054.68 and 6,138.64 is: 9,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378.64 : 23,054.68 = 6,138.64 : x
  2. Step 2: Convert to fraction form
    15,378.64/23,054.68 = 6,138.64/x
  3. Step 3: Cross multiply
    15,378.64x = 23,054.68 × 6,138.64
  4. Step 4: Simplify right side
    15,378.64x = 141,524,380.84
  5. Step 5: Solve for x
    x = 141,524,380.84/15,378.64
  6. Step 6: Final answer
    x = 9,202.66

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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.