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Finding the Fourth Proportional to 26,000.30, 38,986.05 and 11,206.70

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Solution

The fourth proportional to 26,000.30, 38,986.05 and 11,206.70 is: 16,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.30 : 38,986.05 = 11,206.70 : x
  2. Step 2: Convert to fraction form
    26,000.30/38,986.05 = 11,206.70/x
  3. Step 3: Cross multiply
    26,000.30x = 38,986.05 × 11,206.70
  4. Step 4: Simplify right side
    26,000.30x = 436,904,966.54
  5. Step 5: Solve for x
    x = 436,904,966.54/26,000.30
  6. Step 6: Final answer
    x = 16,803.84

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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.