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Finding the Fourth Proportional to 22,508.40, 33,756.66 and 6,709.68

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Solution

The fourth proportional to 22,508.40, 33,756.66 and 6,709.68 is: 10,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.40 : 33,756.66 = 6,709.68 : x
  2. Step 2: Convert to fraction form
    22,508.40/33,756.66 = 6,709.68/x
  3. Step 3: Cross multiply
    22,508.40x = 33,756.66 × 6,709.68
  4. Step 4: Simplify right side
    22,508.40x = 226,496,386.47
  5. Step 5: Solve for x
    x = 226,496,386.47/22,508.40
  6. Step 6: Final answer
    x = 10,062.75

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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.