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Finding the Fourth Proportional to 16,301.63, 22,496.27 and 8,849.63

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Solution

The fourth proportional to 16,301.63, 22,496.27 and 8,849.63 is: 12,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.63 : 22,496.27 = 8,849.63 : x
  2. Step 2: Convert to fraction form
    16,301.63/22,496.27 = 8,849.63/x
  3. Step 3: Cross multiply
    16,301.63x = 22,496.27 × 8,849.63
  4. Step 4: Simplify right side
    16,301.63x = 199,083,509.15
  5. Step 5: Solve for x
    x = 199,083,509.15/16,301.63
  6. Step 6: Final answer
    x = 12,212.49

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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.