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Finding the Fourth Proportional to 10,220.92, 14,142.19 and 8,899

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Solution

The fourth proportional to 10,220.92, 14,142.19 and 8,899 is: 12,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.92 : 14,142.19 = 8,899 : x
  2. Step 2: Convert to fraction form
    10,220.92/14,142.19 = 8,899/x
  3. Step 3: Cross multiply
    10,220.92x = 14,142.19 × 8,899
  4. Step 4: Simplify right side
    10,220.92x = 125,851,348.81
  5. Step 5: Solve for x
    x = 125,851,348.81/10,220.92
  6. Step 6: Final answer
    x = 12,313.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.