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Finding the Fourth Proportional to 13,498.94, 18,623.59 and 8,463.38

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Solution

The fourth proportional to 13,498.94, 18,623.59 and 8,463.38 is: 11,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.94 : 18,623.59 = 8,463.38 : x
  2. Step 2: Convert to fraction form
    13,498.94/18,623.59 = 8,463.38/x
  3. Step 3: Cross multiply
    13,498.94x = 18,623.59 × 8,463.38
  4. Step 4: Simplify right side
    13,498.94x = 157,618,404.86
  5. Step 5: Solve for x
    x = 157,618,404.86/13,498.94
  6. Step 6: Final answer
    x = 11,676.35

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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.