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Finding the Fourth Proportional to 15,494.69, 21,382.85 and 8,421.12

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Solution

The fourth proportional to 15,494.69, 21,382.85 and 8,421.12 is: 11,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.69 : 21,382.85 = 8,421.12 : x
  2. Step 2: Convert to fraction form
    15,494.69/21,382.85 = 8,421.12/x
  3. Step 3: Cross multiply
    15,494.69x = 21,382.85 × 8,421.12
  4. Step 4: Simplify right side
    15,494.69x = 180,067,503.69
  5. Step 5: Solve for x
    x = 180,067,503.69/15,494.69
  6. Step 6: Final answer
    x = 11,621.24

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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.