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Finding the Fourth Proportional to 14,871.09, 20,522.38 and 8,156.31

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Solution

The fourth proportional to 14,871.09, 20,522.38 and 8,156.31 is: 11,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.09 : 20,522.38 = 8,156.31 : x
  2. Step 2: Convert to fraction form
    14,871.09/20,522.38 = 8,156.31/x
  3. Step 3: Cross multiply
    14,871.09x = 20,522.38 × 8,156.31
  4. Step 4: Simplify right side
    14,871.09x = 167,386,893.22
  5. Step 5: Solve for x
    x = 167,386,893.22/14,871.09
  6. Step 6: Final answer
    x = 11,255.86

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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.