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Finding the Fourth Proportional to 21,920.81, 32,887.69 and 6,338.57

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Solution

The fourth proportional to 21,920.81, 32,887.69 and 6,338.57 is: 9,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.81 : 32,887.69 = 6,338.57 : x
  2. Step 2: Convert to fraction form
    21,920.81/32,887.69 = 6,338.57/x
  3. Step 3: Cross multiply
    21,920.81x = 32,887.69 × 6,338.57
  4. Step 4: Simplify right side
    21,920.81x = 208,460,744.92
  5. Step 5: Solve for x
    x = 208,460,744.92/21,920.81
  6. Step 6: Final answer
    x = 9,509.72

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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.