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Finding the Fourth Proportional to 21,196.53, 31,798.13 and 6,403.59

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Solution

The fourth proportional to 21,196.53, 31,798.13 and 6,403.59 is: 9,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.53 : 31,798.13 = 6,403.59 : x
  2. Step 2: Convert to fraction form
    21,196.53/31,798.13 = 6,403.59/x
  3. Step 3: Cross multiply
    21,196.53x = 31,798.13 × 6,403.59
  4. Step 4: Simplify right side
    21,196.53x = 203,622,155.27
  5. Step 5: Solve for x
    x = 203,622,155.27/21,196.53
  6. Step 6: Final answer
    x = 9,606.39

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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.