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Finding the Fourth Proportional to 16,514, 24,771 and 4,827.32

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Solution

The fourth proportional to 16,514, 24,771 and 4,827.32 is: 7,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514 : 24,771 = 4,827.32 : x
  2. Step 2: Convert to fraction form
    16,514/24,771 = 4,827.32/x
  3. Step 3: Cross multiply
    16,514x = 24,771 × 4,827.32
  4. Step 4: Simplify right side
    16,514x = 119,577,543.72
  5. Step 5: Solve for x
    x = 119,577,543.72/16,514
  6. Step 6: Final answer
    x = 7,240.98

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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.