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Finding the Fourth Proportional to 13,971.98, 20,955.49 and 4,612.13

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Solution

The fourth proportional to 13,971.98, 20,955.49 and 4,612.13 is: 6,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.98 : 20,955.49 = 4,612.13 : x
  2. Step 2: Convert to fraction form
    13,971.98/20,955.49 = 4,612.13/x
  3. Step 3: Cross multiply
    13,971.98x = 20,955.49 × 4,612.13
  4. Step 4: Simplify right side
    13,971.98x = 96,649,444.09
  5. Step 5: Solve for x
    x = 96,649,444.09/13,971.98
  6. Step 6: Final answer
    x = 6,917.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.