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Finding the Fourth Proportional to 22,559.24, 33,829.86 and 6,972.68

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Solution

The fourth proportional to 22,559.24, 33,829.86 and 6,972.68 is: 10,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.24 : 33,829.86 = 6,972.68 : x
  2. Step 2: Convert to fraction form
    22,559.24/33,829.86 = 6,972.68/x
  3. Step 3: Cross multiply
    22,559.24x = 33,829.86 × 6,972.68
  4. Step 4: Simplify right side
    22,559.24x = 235,884,788.22
  5. Step 5: Solve for x
    x = 235,884,788.22/22,559.24
  6. Step 6: Final answer
    x = 10,456.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.