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Finding the Fourth Proportional to 10,864.60, 16,331.70 and 10,094.20

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Solution

The fourth proportional to 10,864.60, 16,331.70 and 10,094.20 is: 15,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.60 : 16,331.70 = 10,094.20 : x
  2. Step 2: Convert to fraction form
    10,864.60/16,331.70 = 10,094.20/x
  3. Step 3: Cross multiply
    10,864.60x = 16,331.70 × 10,094.20
  4. Step 4: Simplify right side
    10,864.60x = 164,855,446.14
  5. Step 5: Solve for x
    x = 164,855,446.14/10,864.60
  6. Step 6: Final answer
    x = 15,173.63

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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.