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Finding the Fourth Proportional to 14,500.13, 20,010.17 and 8,213.72

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Solution

The fourth proportional to 14,500.13, 20,010.17 and 8,213.72 is: 11,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.13 : 20,010.17 = 8,213.72 : x
  2. Step 2: Convert to fraction form
    14,500.13/20,010.17 = 8,213.72/x
  3. Step 3: Cross multiply
    14,500.13x = 20,010.17 × 8,213.72
  4. Step 4: Simplify right side
    14,500.13x = 164,357,933.53
  5. Step 5: Solve for x
    x = 164,357,933.53/14,500.13
  6. Step 6: Final answer
    x = 11,334.93

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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.