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Finding the Fourth Proportional to 16,982.93, 23,435.19 and 9,813.17

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Solution

The fourth proportional to 16,982.93, 23,435.19 and 9,813.17 is: 13,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.93 : 23,435.19 = 9,813.17 : x
  2. Step 2: Convert to fraction form
    16,982.93/23,435.19 = 9,813.17/x
  3. Step 3: Cross multiply
    16,982.93x = 23,435.19 × 9,813.17
  4. Step 4: Simplify right side
    16,982.93x = 229,973,503.45
  5. Step 5: Solve for x
    x = 229,973,503.45/16,982.93
  6. Step 6: Final answer
    x = 13,541.45

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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.