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Finding the Fourth Proportional to 21,152.34, 31,718.12 and 8,668.96

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Solution

The fourth proportional to 21,152.34, 31,718.12 and 8,668.96 is: 12,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.34 : 31,718.12 = 8,668.96 : x
  2. Step 2: Convert to fraction form
    21,152.34/31,718.12 = 8,668.96/x
  3. Step 3: Cross multiply
    21,152.34x = 31,718.12 × 8,668.96
  4. Step 4: Simplify right side
    21,152.34x = 274,962,990.92
  5. Step 5: Solve for x
    x = 274,962,990.92/21,152.34
  6. Step 6: Final answer
    x = 12,999.18

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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.