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Finding the Fourth Proportional to 17,776.61, 26,672.70 and 8,423.31

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Solution

The fourth proportional to 17,776.61, 26,672.70 and 8,423.31 is: 12,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.61 : 26,672.70 = 8,423.31 : x
  2. Step 2: Convert to fraction form
    17,776.61/26,672.70 = 8,423.31/x
  3. Step 3: Cross multiply
    17,776.61x = 26,672.70 × 8,423.31
  4. Step 4: Simplify right side
    17,776.61x = 224,672,420.64
  5. Step 5: Solve for x
    x = 224,672,420.64/17,776.61
  6. Step 6: Final answer
    x = 12,638.65

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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.