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Finding the Fourth Proportional to 12,271.77, 16,945.88 and 9,122.49

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Solution

The fourth proportional to 12,271.77, 16,945.88 and 9,122.49 is: 12,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.77 : 16,945.88 = 9,122.49 : x
  2. Step 2: Convert to fraction form
    12,271.77/16,945.88 = 9,122.49/x
  3. Step 3: Cross multiply
    12,271.77x = 16,945.88 × 9,122.49
  4. Step 4: Simplify right side
    12,271.77x = 154,588,575.23
  5. Step 5: Solve for x
    x = 154,588,575.23/12,271.77
  6. Step 6: Final answer
    x = 12,597.09

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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.