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Finding the Fourth Proportional to 12,330.70, 18,496.05 and 5,405.20

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Solution

The fourth proportional to 12,330.70, 18,496.05 and 5,405.20 is: 8,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.70 : 18,496.05 = 5,405.20 : x
  2. Step 2: Convert to fraction form
    12,330.70/18,496.05 = 5,405.20/x
  3. Step 3: Cross multiply
    12,330.70x = 18,496.05 × 5,405.20
  4. Step 4: Simplify right side
    12,330.70x = 99,974,849.46
  5. Step 5: Solve for x
    x = 99,974,849.46/12,330.70
  6. Step 6: Final answer
    x = 8,107.80

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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.