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Finding the Fourth Proportional to 16,222.54, 22,386.74 and 9,149.22

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Solution

The fourth proportional to 16,222.54, 22,386.74 and 9,149.22 is: 12,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.54 : 22,386.74 = 9,149.22 : x
  2. Step 2: Convert to fraction form
    16,222.54/22,386.74 = 9,149.22/x
  3. Step 3: Cross multiply
    16,222.54x = 22,386.74 × 9,149.22
  4. Step 4: Simplify right side
    16,222.54x = 204,821,209.34
  5. Step 5: Solve for x
    x = 204,821,209.34/16,222.54
  6. Step 6: Final answer
    x = 12,625.72

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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.