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Finding the Fourth Proportional to 12,271.96, 16,935.26 and 6,683

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Solution

The fourth proportional to 12,271.96, 16,935.26 and 6,683 is: 9,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.96 : 16,935.26 = 6,683 : x
  2. Step 2: Convert to fraction form
    12,271.96/16,935.26 = 6,683/x
  3. Step 3: Cross multiply
    12,271.96x = 16,935.26 × 6,683
  4. Step 4: Simplify right side
    12,271.96x = 113,178,342.58
  5. Step 5: Solve for x
    x = 113,178,342.58/12,271.96
  6. Step 6: Final answer
    x = 9,222.52

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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.