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Finding the Fourth Proportional to 21,210.92, 31,817.16 and 8,064.60

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Solution

The fourth proportional to 21,210.92, 31,817.16 and 8,064.60 is: 12,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,210.92 : 31,817.16 = 8,064.60 : x
  2. Step 2: Convert to fraction form
    21,210.92/31,817.16 = 8,064.60/x
  3. Step 3: Cross multiply
    21,210.92x = 31,817.16 × 8,064.60
  4. Step 4: Simplify right side
    21,210.92x = 256,592,668.54
  5. Step 5: Solve for x
    x = 256,592,668.54/21,210.92
  6. Step 6: Final answer
    x = 12,097.20

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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.