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Finding the Fourth Proportional to 10,016.67, 13,817.98 and 9,304.30

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Solution

The fourth proportional to 10,016.67, 13,817.98 and 9,304.30 is: 12,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.67 : 13,817.98 = 9,304.30 : x
  2. Step 2: Convert to fraction form
    10,016.67/13,817.98 = 9,304.30/x
  3. Step 3: Cross multiply
    10,016.67x = 13,817.98 × 9,304.30
  4. Step 4: Simplify right side
    10,016.67x = 128,566,631.31
  5. Step 5: Solve for x
    x = 128,566,631.31/10,016.67
  6. Step 6: Final answer
    x = 12,835.27

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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.