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Finding the Fourth Proportional to 22,386.82, 33,578.05 and 6,804.58

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Solution

The fourth proportional to 22,386.82, 33,578.05 and 6,804.58 is: 10,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,386.82 : 33,578.05 = 6,804.58 : x
  2. Step 2: Convert to fraction form
    22,386.82/33,578.05 = 6,804.58/x
  3. Step 3: Cross multiply
    22,386.82x = 33,578.05 × 6,804.58
  4. Step 4: Simplify right side
    22,386.82x = 228,484,527.47
  5. Step 5: Solve for x
    x = 228,484,527.47/22,386.82
  6. Step 6: Final answer
    x = 10,206.21

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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.