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Finding the Fourth Proportional to 16,486.50, 24,730.74 and 5,394.36

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Solution

The fourth proportional to 16,486.50, 24,730.74 and 5,394.36 is: 8,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.50 : 24,730.74 = 5,394.36 : x
  2. Step 2: Convert to fraction form
    16,486.50/24,730.74 = 5,394.36/x
  3. Step 3: Cross multiply
    16,486.50x = 24,730.74 × 5,394.36
  4. Step 4: Simplify right side
    16,486.50x = 133,406,514.63
  5. Step 5: Solve for x
    x = 133,406,514.63/16,486.50
  6. Step 6: Final answer
    x = 8,091.86

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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.