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Finding the Fourth Proportional to 21,133.34, 31,695.42 and 6,338.29

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Solution

The fourth proportional to 21,133.34, 31,695.42 and 6,338.29 is: 9,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133.34 : 31,695.42 = 6,338.29 : x
  2. Step 2: Convert to fraction form
    21,133.34/31,695.42 = 6,338.29/x
  3. Step 3: Cross multiply
    21,133.34x = 31,695.42 × 6,338.29
  4. Step 4: Simplify right side
    21,133.34x = 200,894,605.15
  5. Step 5: Solve for x
    x = 200,894,605.15/21,133.34
  6. Step 6: Final answer
    x = 9,506.05

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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.