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Finding the Fourth Proportional to 20,699.35, 31,037.68 and 8,206.72

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Solution

The fourth proportional to 20,699.35, 31,037.68 and 8,206.72 is: 12,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699.35 : 31,037.68 = 8,206.72 : x
  2. Step 2: Convert to fraction form
    20,699.35/31,037.68 = 8,206.72/x
  3. Step 3: Cross multiply
    20,699.35x = 31,037.68 × 8,206.72
  4. Step 4: Simplify right side
    20,699.35x = 254,717,549.21
  5. Step 5: Solve for x
    x = 254,717,549.21/20,699.35
  6. Step 6: Final answer
    x = 12,305.58

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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.