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Finding the Fourth Proportional to 13,690.65, 18,892.33 and 7,721.97

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Solution

The fourth proportional to 13,690.65, 18,892.33 and 7,721.97 is: 10,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.65 : 18,892.33 = 7,721.97 : x
  2. Step 2: Convert to fraction form
    13,690.65/18,892.33 = 7,721.97/x
  3. Step 3: Cross multiply
    13,690.65x = 18,892.33 × 7,721.97
  4. Step 4: Simplify right side
    13,690.65x = 145,886,005.49
  5. Step 5: Solve for x
    x = 145,886,005.49/13,690.65
  6. Step 6: Final answer
    x = 10,655.89

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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.