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Finding the Fourth Proportional to 16,375.74, 22,597.44 and 9,206.76

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Solution

The fourth proportional to 16,375.74, 22,597.44 and 9,206.76 is: 12,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.74 : 22,597.44 = 9,206.76 : x
  2. Step 2: Convert to fraction form
    16,375.74/22,597.44 = 9,206.76/x
  3. Step 3: Cross multiply
    16,375.74x = 22,597.44 × 9,206.76
  4. Step 4: Simplify right side
    16,375.74x = 208,049,206.69
  5. Step 5: Solve for x
    x = 208,049,206.69/16,375.74
  6. Step 6: Final answer
    x = 12,704.72

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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.