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Finding the Fourth Proportional to 16,585.74, 22,888.44 and 9,512.82

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Solution

The fourth proportional to 16,585.74, 22,888.44 and 9,512.82 is: 13,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.74 : 22,888.44 = 9,512.82 : x
  2. Step 2: Convert to fraction form
    16,585.74/22,888.44 = 9,512.82/x
  3. Step 3: Cross multiply
    16,585.74x = 22,888.44 × 9,512.82
  4. Step 4: Simplify right side
    16,585.74x = 217,733,609.80
  5. Step 5: Solve for x
    x = 217,733,609.80/16,585.74
  6. Step 6: Final answer
    x = 13,127.76

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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.