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Finding the Fourth Proportional to 21,673.38, 32,484.15 and 7,814.82

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Solution

The fourth proportional to 21,673.38, 32,484.15 and 7,814.82 is: 11,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.38 : 32,484.15 = 7,814.82 : x
  2. Step 2: Convert to fraction form
    21,673.38/32,484.15 = 7,814.82/x
  3. Step 3: Cross multiply
    21,673.38x = 32,484.15 × 7,814.82
  4. Step 4: Simplify right side
    21,673.38x = 253,857,785.10
  5. Step 5: Solve for x
    x = 253,857,785.10/21,673.38
  6. Step 6: Final answer
    x = 11,712.88

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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.