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Finding the Fourth Proportional to 16,984.49, 23,436.14 and 9,909.54

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Solution

The fourth proportional to 16,984.49, 23,436.14 and 9,909.54 is: 13,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.49 : 23,436.14 = 9,909.54 : x
  2. Step 2: Convert to fraction form
    16,984.49/23,436.14 = 9,909.54/x
  3. Step 3: Cross multiply
    16,984.49x = 23,436.14 × 9,909.54
  4. Step 4: Simplify right side
    16,984.49x = 232,241,317.23
  5. Step 5: Solve for x
    x = 232,241,317.23/16,984.49
  6. Step 6: Final answer
    x = 13,673.73

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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.