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Finding the Fourth Proportional to 10,817.16, 16,206.30 and 10,059

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Solution

The fourth proportional to 10,817.16, 16,206.30 and 10,059 is: 15,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.16 : 16,206.30 = 10,059 : x
  2. Step 2: Convert to fraction form
    10,817.16/16,206.30 = 10,059/x
  3. Step 3: Cross multiply
    10,817.16x = 16,206.30 × 10,059
  4. Step 4: Simplify right side
    10,817.16x = 163,019,171.70
  5. Step 5: Solve for x
    x = 163,019,171.70/10,817.16
  6. Step 6: Final answer
    x = 15,070.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.