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Finding the Fourth Proportional to 10,161.64, 15,196.38 and 10,034.92

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Solution

The fourth proportional to 10,161.64, 15,196.38 and 10,034.92 is: 15,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.64 : 15,196.38 = 10,034.92 : x
  2. Step 2: Convert to fraction form
    10,161.64/15,196.38 = 10,034.92/x
  3. Step 3: Cross multiply
    10,161.64x = 15,196.38 × 10,034.92
  4. Step 4: Simplify right side
    10,161.64x = 152,494,457.59
  5. Step 5: Solve for x
    x = 152,494,457.59/10,161.64
  6. Step 6: Final answer
    x = 15,006.87

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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.