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Finding the Fourth Proportional to 21,691.20, 32,537.70 and 6,899.70

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Solution

The fourth proportional to 21,691.20, 32,537.70 and 6,899.70 is: 10,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.20 : 32,537.70 = 6,899.70 : x
  2. Step 2: Convert to fraction form
    21,691.20/32,537.70 = 6,899.70/x
  3. Step 3: Cross multiply
    21,691.20x = 32,537.70 × 6,899.70
  4. Step 4: Simplify right side
    21,691.20x = 224,500,368.69
  5. Step 5: Solve for x
    x = 224,500,368.69/21,691.20
  6. Step 6: Final answer
    x = 10,349.84

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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.