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Finding the Fourth Proportional to 15,092.08, 20,827.76 and 8,377.80

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Solution

The fourth proportional to 15,092.08, 20,827.76 and 8,377.80 is: 11,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.08 : 20,827.76 = 8,377.80 : x
  2. Step 2: Convert to fraction form
    15,092.08/20,827.76 = 8,377.80/x
  3. Step 3: Cross multiply
    15,092.08x = 20,827.76 × 8,377.80
  4. Step 4: Simplify right side
    15,092.08x = 174,490,887.03
  5. Step 5: Solve for x
    x = 174,490,887.03/15,092.08
  6. Step 6: Final answer
    x = 11,561.75

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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.