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Finding the Fourth Proportional to 13,005.81, 19,519.65 and 6,768

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Solution

The fourth proportional to 13,005.81, 19,519.65 and 6,768 is: 10,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.81 : 19,519.65 = 6,768 : x
  2. Step 2: Convert to fraction form
    13,005.81/19,519.65 = 6,768/x
  3. Step 3: Cross multiply
    13,005.81x = 19,519.65 × 6,768
  4. Step 4: Simplify right side
    13,005.81x = 132,108,991.20
  5. Step 5: Solve for x
    x = 132,108,991.20/13,005.81
  6. Step 6: Final answer
    x = 10,157.69

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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.