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Finding the Fourth Proportional to 16,002.69, 22,087.67 and 9,720.33

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Solution

The fourth proportional to 16,002.69, 22,087.67 and 9,720.33 is: 13,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.69 : 22,087.67 = 9,720.33 : x
  2. Step 2: Convert to fraction form
    16,002.69/22,087.67 = 9,720.33/x
  3. Step 3: Cross multiply
    16,002.69x = 22,087.67 × 9,720.33
  4. Step 4: Simplify right side
    16,002.69x = 214,699,392.73
  5. Step 5: Solve for x
    x = 214,699,392.73/16,002.69
  6. Step 6: Final answer
    x = 13,416.46

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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.