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Finding the Fourth Proportional to 16,326.81, 24,491.93 and 6,967.82

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Solution

The fourth proportional to 16,326.81, 24,491.93 and 6,967.82 is: 10,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.81 : 24,491.93 = 6,967.82 : x
  2. Step 2: Convert to fraction form
    16,326.81/24,491.93 = 6,967.82/x
  3. Step 3: Cross multiply
    16,326.81x = 24,491.93 × 6,967.82
  4. Step 4: Simplify right side
    16,326.81x = 170,655,386.08
  5. Step 5: Solve for x
    x = 170,655,386.08/16,326.81
  6. Step 6: Final answer
    x = 10,452.46

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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.