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Finding the Fourth Proportional to 16,507.50, 22,781.43 and 9,055.50

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Solution

The fourth proportional to 16,507.50, 22,781.43 and 9,055.50 is: 12,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.50 : 22,781.43 = 9,055.50 : x
  2. Step 2: Convert to fraction form
    16,507.50/22,781.43 = 9,055.50/x
  3. Step 3: Cross multiply
    16,507.50x = 22,781.43 × 9,055.50
  4. Step 4: Simplify right side
    16,507.50x = 206,297,239.37
  5. Step 5: Solve for x
    x = 206,297,239.37/16,507.50
  6. Step 6: Final answer
    x = 12,497.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.