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Finding the Fourth Proportional to 14,666.60, 20,241.06 and 8,381

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Solution

The fourth proportional to 14,666.60, 20,241.06 and 8,381 is: 11,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.60 : 20,241.06 = 8,381 : x
  2. Step 2: Convert to fraction form
    14,666.60/20,241.06 = 8,381/x
  3. Step 3: Cross multiply
    14,666.60x = 20,241.06 × 8,381
  4. Step 4: Simplify right side
    14,666.60x = 169,640,323.86
  5. Step 5: Solve for x
    x = 169,640,323.86/14,666.60
  6. Step 6: Final answer
    x = 11,566.44

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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.