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Finding the Fourth Proportional to 12,321.34, 17,005.21 and 7,016.65

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Solution

The fourth proportional to 12,321.34, 17,005.21 and 7,016.65 is: 9,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.34 : 17,005.21 = 7,016.65 : x
  2. Step 2: Convert to fraction form
    12,321.34/17,005.21 = 7,016.65/x
  3. Step 3: Cross multiply
    12,321.34x = 17,005.21 × 7,016.65
  4. Step 4: Simplify right side
    12,321.34x = 119,319,546.69
  5. Step 5: Solve for x
    x = 119,319,546.69/12,321.34
  6. Step 6: Final answer
    x = 9,683.98

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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.