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Finding the Fourth Proportional to 10,145.00, 15,196.33 and 8,159.90

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Solution

The fourth proportional to 10,145.00, 15,196.33 and 8,159.90 is: 12,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.00 : 15,196.33 = 8,159.90 : x
  2. Step 2: Convert to fraction form
    10,145.00/15,196.33 = 8,159.90/x
  3. Step 3: Cross multiply
    10,145.00x = 15,196.33 × 8,159.90
  4. Step 4: Simplify right side
    10,145.00x = 124,000,571.16
  5. Step 5: Solve for x
    x = 124,000,571.16/10,145.00
  6. Step 6: Final answer
    x = 12,222.83

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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.