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Finding the Fourth Proportional to 21,584.69, 32,391.71 and 7,733.69

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Solution

The fourth proportional to 21,584.69, 32,391.71 and 7,733.69 is: 11,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.69 : 32,391.71 = 7,733.69 : x
  2. Step 2: Convert to fraction form
    21,584.69/32,391.71 = 7,733.69/x
  3. Step 3: Cross multiply
    21,584.69x = 32,391.71 × 7,733.69
  4. Step 4: Simplify right side
    21,584.69x = 250,507,443.71
  5. Step 5: Solve for x
    x = 250,507,443.71/21,584.69
  6. Step 6: Final answer
    x = 11,605.79

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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.