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Finding the Fourth Proportional to 14,500.62, 20,010.85 and 8,213.00

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Solution

The fourth proportional to 14,500.62, 20,010.85 and 8,213.00 is: 11,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.62 : 20,010.85 = 8,213.00 : x
  2. Step 2: Convert to fraction form
    14,500.62/20,010.85 = 8,213.00/x
  3. Step 3: Cross multiply
    14,500.62x = 20,010.85 × 8,213.00
  4. Step 4: Simplify right side
    14,500.62x = 164,348,990.46
  5. Step 5: Solve for x
    x = 164,348,990.46/14,500.62
  6. Step 6: Final answer
    x = 11,333.93

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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.