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Finding the Fourth Proportional to 18,877.50, 26,051.04 and 10,494

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Solution

The fourth proportional to 18,877.50, 26,051.04 and 10,494 is: 14,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,877.50 : 26,051.04 = 10,494 : x
  2. Step 2: Convert to fraction form
    18,877.50/26,051.04 = 10,494/x
  3. Step 3: Cross multiply
    18,877.50x = 26,051.04 × 10,494
  4. Step 4: Simplify right side
    18,877.50x = 273,379,613.76
  5. Step 5: Solve for x
    x = 273,379,613.76/18,877.50
  6. Step 6: Final answer
    x = 14,481.77

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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.