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Finding the Fourth Proportional to 14,686.85, 20,261.13 and 10,221.25

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Solution

The fourth proportional to 14,686.85, 20,261.13 and 10,221.25 is: 14,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.85 : 20,261.13 = 10,221.25 : x
  2. Step 2: Convert to fraction form
    14,686.85/20,261.13 = 10,221.25/x
  3. Step 3: Cross multiply
    14,686.85x = 20,261.13 × 10,221.25
  4. Step 4: Simplify right side
    14,686.85x = 207,093,999.26
  5. Step 5: Solve for x
    x = 207,093,999.26/14,686.85
  6. Step 6: Final answer
    x = 14,100.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.