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Finding the Fourth Proportional to 21,133.09, 31,695.04 and 6,338.04

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Solution

The fourth proportional to 21,133.09, 31,695.04 and 6,338.04 is: 9,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133.09 : 31,695.04 = 6,338.04 : x
  2. Step 2: Convert to fraction form
    21,133.09/31,695.04 = 6,338.04/x
  3. Step 3: Cross multiply
    21,133.09x = 31,695.04 × 6,338.04
  4. Step 4: Simplify right side
    21,133.09x = 200,884,431.32
  5. Step 5: Solve for x
    x = 200,884,431.32/21,133.09
  6. Step 6: Final answer
    x = 9,505.68

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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.