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Finding the Fourth Proportional to 12,098.96, 18,146.24 and 3,332

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Solution

The fourth proportional to 12,098.96, 18,146.24 and 3,332 is: 4,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.96 : 18,146.24 = 3,332 : x
  2. Step 2: Convert to fraction form
    12,098.96/18,146.24 = 3,332/x
  3. Step 3: Cross multiply
    12,098.96x = 18,146.24 × 3,332
  4. Step 4: Simplify right side
    12,098.96x = 60,463,271.68
  5. Step 5: Solve for x
    x = 60,463,271.68/12,098.96
  6. Step 6: Final answer
    x = 4,997.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.