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Finding the Fourth Proportional to 12,330.56, 18,498.24 and 5,405

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Solution

The fourth proportional to 12,330.56, 18,498.24 and 5,405 is: 8,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.56 : 18,498.24 = 5,405 : x
  2. Step 2: Convert to fraction form
    12,330.56/18,498.24 = 5,405/x
  3. Step 3: Cross multiply
    12,330.56x = 18,498.24 × 5,405
  4. Step 4: Simplify right side
    12,330.56x = 99,982,987.20
  5. Step 5: Solve for x
    x = 99,982,987.20/12,330.56
  6. Step 6: Final answer
    x = 8,108.55

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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.