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Finding the Fourth Proportional to 17,916.48, 26,874.72 and 8,676

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Solution

The fourth proportional to 17,916.48, 26,874.72 and 8,676 is: 13,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.48 : 26,874.72 = 8,676 : x
  2. Step 2: Convert to fraction form
    17,916.48/26,874.72 = 8,676/x
  3. Step 3: Cross multiply
    17,916.48x = 26,874.72 × 8,676
  4. Step 4: Simplify right side
    17,916.48x = 233,165,070.72
  5. Step 5: Solve for x
    x = 233,165,070.72/17,916.48
  6. Step 6: Final answer
    x = 13,014

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.