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Finding the Fourth Proportional to 12,270.25, 16,932.99 and 6,681.25

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Solution

The fourth proportional to 12,270.25, 16,932.99 and 6,681.25 is: 9,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.25 : 16,932.99 = 6,681.25 : x
  2. Step 2: Convert to fraction form
    12,270.25/16,932.99 = 6,681.25/x
  3. Step 3: Cross multiply
    12,270.25x = 16,932.99 × 6,681.25
  4. Step 4: Simplify right side
    12,270.25x = 113,133,539.44
  5. Step 5: Solve for x
    x = 113,133,539.44/12,270.25
  6. Step 6: Final answer
    x = 9,220.15

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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.