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Finding the Fourth Proportional to 13,699.40, 18,905.67 and 7,731.32

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Solution

The fourth proportional to 13,699.40, 18,905.67 and 7,731.32 is: 10,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.40 : 18,905.67 = 7,731.32 : x
  2. Step 2: Convert to fraction form
    13,699.40/18,905.67 = 7,731.32/x
  3. Step 3: Cross multiply
    13,699.40x = 18,905.67 × 7,731.32
  4. Step 4: Simplify right side
    13,699.40x = 146,165,690.06
  5. Step 5: Solve for x
    x = 146,165,690.06/13,699.40
  6. Step 6: Final answer
    x = 10,669.50

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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.