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Finding the Fourth Proportional to 20,896.61, 31,345.11 and 5,314.23

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Solution

The fourth proportional to 20,896.61, 31,345.11 and 5,314.23 is: 7,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.61 : 31,345.11 = 5,314.23 : x
  2. Step 2: Convert to fraction form
    20,896.61/31,345.11 = 5,314.23/x
  3. Step 3: Cross multiply
    20,896.61x = 31,345.11 × 5,314.23
  4. Step 4: Simplify right side
    20,896.61x = 166,575,123.92
  5. Step 5: Solve for x
    x = 166,575,123.92/20,896.61
  6. Step 6: Final answer
    x = 7,971.40

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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.