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Finding the Fourth Proportional to 16,580.17, 22,878.05 and 9,505.22

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Solution

The fourth proportional to 16,580.17, 22,878.05 and 9,505.22 is: 13,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.17 : 22,878.05 = 9,505.22 : x
  2. Step 2: Convert to fraction form
    16,580.17/22,878.05 = 9,505.22/x
  3. Step 3: Cross multiply
    16,580.17x = 22,878.05 × 9,505.22
  4. Step 4: Simplify right side
    16,580.17x = 217,460,979.38
  5. Step 5: Solve for x
    x = 217,460,979.38/16,580.17
  6. Step 6: Final answer
    x = 13,115.73

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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.