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Finding the Fourth Proportional to 12,174.12, 16,798.86 and 6,868.62

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Solution

The fourth proportional to 12,174.12, 16,798.86 and 6,868.62 is: 9,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.12 : 16,798.86 = 6,868.62 : x
  2. Step 2: Convert to fraction form
    12,174.12/16,798.86 = 6,868.62/x
  3. Step 3: Cross multiply
    12,174.12x = 16,798.86 × 6,868.62
  4. Step 4: Simplify right side
    12,174.12x = 115,384,985.77
  5. Step 5: Solve for x
    x = 115,384,985.77/12,174.12
  6. Step 6: Final answer
    x = 9,477.89

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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.