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Finding the Fourth Proportional to 16,984.35, 23,438.62 and 9,431.15

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Solution

The fourth proportional to 16,984.35, 23,438.62 and 9,431.15 is: 13,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.35 : 23,438.62 = 9,431.15 : x
  2. Step 2: Convert to fraction form
    16,984.35/23,438.62 = 9,431.15/x
  3. Step 3: Cross multiply
    16,984.35x = 23,438.62 × 9,431.15
  4. Step 4: Simplify right side
    16,984.35x = 221,053,114.40
  5. Step 5: Solve for x
    x = 221,053,114.40/16,984.35
  6. Step 6: Final answer
    x = 13,015.11

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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.