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Finding the Fourth Proportional to 12,306.13, 16,980.78 and 6,999.94

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Solution

The fourth proportional to 12,306.13, 16,980.78 and 6,999.94 is: 9,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.13 : 16,980.78 = 6,999.94 : x
  2. Step 2: Convert to fraction form
    12,306.13/16,980.78 = 6,999.94/x
  3. Step 3: Cross multiply
    12,306.13x = 16,980.78 × 6,999.94
  4. Step 4: Simplify right side
    12,306.13x = 118,864,441.15
  5. Step 5: Solve for x
    x = 118,864,441.15/12,306.13
  6. Step 6: Final answer
    x = 9,658.96

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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.