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Finding the Fourth Proportional to 14,509.33, 20,022.19 and 8,220.49

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Solution

The fourth proportional to 14,509.33, 20,022.19 and 8,220.49 is: 11,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.33 : 20,022.19 = 8,220.49 : x
  2. Step 2: Convert to fraction form
    14,509.33/20,022.19 = 8,220.49/x
  3. Step 3: Cross multiply
    14,509.33x = 20,022.19 × 8,220.49
  4. Step 4: Simplify right side
    14,509.33x = 164,592,212.67
  5. Step 5: Solve for x
    x = 164,592,212.67/14,509.33
  6. Step 6: Final answer
    x = 11,343.89

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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.