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Finding the Fourth Proportional to 12,098.45, 16,697.66 and 7,385.46

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Solution

The fourth proportional to 12,098.45, 16,697.66 and 7,385.46 is: 10,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.45 : 16,697.66 = 7,385.46 : x
  2. Step 2: Convert to fraction form
    12,098.45/16,697.66 = 7,385.46/x
  3. Step 3: Cross multiply
    12,098.45x = 16,697.66 × 7,385.46
  4. Step 4: Simplify right side
    12,098.45x = 123,319,918.49
  5. Step 5: Solve for x
    x = 123,319,918.49/12,098.45
  6. Step 6: Final answer
    x = 10,193.04

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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.