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Finding the Fourth Proportional to 21,306.92, 31,960.11 and 6,516.32

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Solution

The fourth proportional to 21,306.92, 31,960.11 and 6,516.32 is: 9,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.92 : 31,960.11 = 6,516.32 : x
  2. Step 2: Convert to fraction form
    21,306.92/31,960.11 = 6,516.32/x
  3. Step 3: Cross multiply
    21,306.92x = 31,960.11 × 6,516.32
  4. Step 4: Simplify right side
    21,306.92x = 208,262,304.00
  5. Step 5: Solve for x
    x = 208,262,304.00/21,306.92
  6. Step 6: Final answer
    x = 9,774.40

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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.