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Finding the Fourth Proportional to 12,031.98, 16,603.84 and 6,997.02

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Solution

The fourth proportional to 12,031.98, 16,603.84 and 6,997.02 is: 9,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.98 : 16,603.84 = 6,997.02 : x
  2. Step 2: Convert to fraction form
    12,031.98/16,603.84 = 6,997.02/x
  3. Step 3: Cross multiply
    12,031.98x = 16,603.84 × 6,997.02
  4. Step 4: Simplify right side
    12,031.98x = 116,177,400.56
  5. Step 5: Solve for x
    x = 116,177,400.56/12,031.98
  6. Step 6: Final answer
    x = 9,655.72

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