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Finding the Fourth Proportional to 12,320.97, 16,997.01 and 8,070.19

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Solution

The fourth proportional to 12,320.97, 16,997.01 and 8,070.19 is: 11,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320.97 : 16,997.01 = 8,070.19 : x
  2. Step 2: Convert to fraction form
    12,320.97/16,997.01 = 8,070.19/x
  3. Step 3: Cross multiply
    12,320.97x = 16,997.01 × 8,070.19
  4. Step 4: Simplify right side
    12,320.97x = 137,169,027.38
  5. Step 5: Solve for x
    x = 137,169,027.38/12,320.97
  6. Step 6: Final answer
    x = 11,132.98

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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.