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Finding the Fourth Proportional to 13,990.49, 20,971.70 and 6,499.31

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Solution

The fourth proportional to 13,990.49, 20,971.70 and 6,499.31 is: 9,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.49 : 20,971.70 = 6,499.31 : x
  2. Step 2: Convert to fraction form
    13,990.49/20,971.70 = 6,499.31/x
  3. Step 3: Cross multiply
    13,990.49x = 20,971.70 × 6,499.31
  4. Step 4: Simplify right side
    13,990.49x = 136,301,579.53
  5. Step 5: Solve for x
    x = 136,301,579.53/13,990.49
  6. Step 6: Final answer
    x = 9,742.45

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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.