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Finding the Fourth Proportional to 12,066, 16,652.04 and 7,098.96

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Solution

The fourth proportional to 12,066, 16,652.04 and 7,098.96 is: 9,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066 : 16,652.04 = 7,098.96 : x
  2. Step 2: Convert to fraction form
    12,066/16,652.04 = 7,098.96/x
  3. Step 3: Cross multiply
    12,066x = 16,652.04 × 7,098.96
  4. Step 4: Simplify right side
    12,066x = 118,212,165.88
  5. Step 5: Solve for x
    x = 118,212,165.88/12,066
  6. Step 6: Final answer
    x = 9,797.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.