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Finding the Fourth Proportional to 12,154.76, 18,229.44 and 4,760

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Solution

The fourth proportional to 12,154.76, 18,229.44 and 4,760 is: 7,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.76 : 18,229.44 = 4,760 : x
  2. Step 2: Convert to fraction form
    12,154.76/18,229.44 = 4,760/x
  3. Step 3: Cross multiply
    12,154.76x = 18,229.44 × 4,760
  4. Step 4: Simplify right side
    12,154.76x = 86,772,134.40
  5. Step 5: Solve for x
    x = 86,772,134.40/12,154.76
  6. Step 6: Final answer
    x = 7,138.94

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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.