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Finding the Fourth Proportional to 16,447, 22,687.98 and 11,733.88

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Solution

The fourth proportional to 16,447, 22,687.98 and 11,733.88 is: 16,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447 : 22,687.98 = 11,733.88 : x
  2. Step 2: Convert to fraction form
    16,447/22,687.98 = 11,733.88/x
  3. Step 3: Cross multiply
    16,447x = 22,687.98 × 11,733.88
  4. Step 4: Simplify right side
    16,447x = 266,218,034.76
  5. Step 5: Solve for x
    x = 266,218,034.76/16,447
  6. Step 6: Final answer
    x = 16,186.42

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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.