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Finding the Fourth Proportional to 14,507.13, 20,020.23 and 8,219.46

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Solution

The fourth proportional to 14,507.13, 20,020.23 and 8,219.46 is: 11,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.13 : 20,020.23 = 8,219.46 : x
  2. Step 2: Convert to fraction form
    14,507.13/20,020.23 = 8,219.46/x
  3. Step 3: Cross multiply
    14,507.13x = 20,020.23 × 8,219.46
  4. Step 4: Simplify right side
    14,507.13x = 164,555,479.68
  5. Step 5: Solve for x
    x = 164,555,479.68/14,507.13
  6. Step 6: Final answer
    x = 11,343.08

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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.