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Finding the Fourth Proportional to 12,320.70, 18,444.60 and 8,165.40

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Solution

The fourth proportional to 12,320.70, 18,444.60 and 8,165.40 is: 12,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320.70 : 18,444.60 = 8,165.40 : x
  2. Step 2: Convert to fraction form
    12,320.70/18,444.60 = 8,165.40/x
  3. Step 3: Cross multiply
    12,320.70x = 18,444.60 × 8,165.40
  4. Step 4: Simplify right side
    12,320.70x = 150,607,536.84
  5. Step 5: Solve for x
    x = 150,607,536.84/12,320.70
  6. Step 6: Final answer
    x = 12,223.94

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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.