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Finding the Fourth Proportional to 16,571.24, 22,867.86 and 9,119.24

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Solution

The fourth proportional to 16,571.24, 22,867.86 and 9,119.24 is: 12,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.24 : 22,867.86 = 9,119.24 : x
  2. Step 2: Convert to fraction form
    16,571.24/22,867.86 = 9,119.24/x
  3. Step 3: Cross multiply
    16,571.24x = 22,867.86 × 9,119.24
  4. Step 4: Simplify right side
    16,571.24x = 208,537,503.63
  5. Step 5: Solve for x
    x = 208,537,503.63/16,571.24
  6. Step 6: Final answer
    x = 12,584.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.