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Finding the Fourth Proportional to 16,343.74, 22,555.35 and 9,176

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Solution

The fourth proportional to 16,343.74, 22,555.35 and 9,176 is: 12,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.74 : 22,555.35 = 9,176 : x
  2. Step 2: Convert to fraction form
    16,343.74/22,555.35 = 9,176/x
  3. Step 3: Cross multiply
    16,343.74x = 22,555.35 × 9,176
  4. Step 4: Simplify right side
    16,343.74x = 206,967,845.72
  5. Step 5: Solve for x
    x = 206,967,845.72/16,343.74
  6. Step 6: Final answer
    x = 12,663.44

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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.