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Finding the Fourth Proportional to 21,143.23, 31,711.54 and 9,294.38

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Solution

The fourth proportional to 21,143.23, 31,711.54 and 9,294.38 is: 13,940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.23 : 31,711.54 = 9,294.38 : x
  2. Step 2: Convert to fraction form
    21,143.23/31,711.54 = 9,294.38/x
  3. Step 3: Cross multiply
    21,143.23x = 31,711.54 × 9,294.38
  4. Step 4: Simplify right side
    21,143.23x = 294,739,176.62
  5. Step 5: Solve for x
    x = 294,739,176.62/21,143.23
  6. Step 6: Final answer
    x = 13,940.12

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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.