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Finding the Fourth Proportional to 13,665.65, 20,504.86 and 5,343.51

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Solution

The fourth proportional to 13,665.65, 20,504.86 and 5,343.51 is: 8,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.65 : 20,504.86 = 5,343.51 : x
  2. Step 2: Convert to fraction form
    13,665.65/20,504.86 = 5,343.51/x
  3. Step 3: Cross multiply
    13,665.65x = 20,504.86 × 5,343.51
  4. Step 4: Simplify right side
    13,665.65x = 109,567,924.46
  5. Step 5: Solve for x
    x = 109,567,924.46/13,665.65
  6. Step 6: Final answer
    x = 8,017.76

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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.