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Finding the Fourth Proportional to 16,982.06, 23,433.71 and 9,907.11

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Solution

The fourth proportional to 16,982.06, 23,433.71 and 9,907.11 is: 13,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.06 : 23,433.71 = 9,907.11 : x
  2. Step 2: Convert to fraction form
    16,982.06/23,433.71 = 9,907.11/x
  3. Step 3: Cross multiply
    16,982.06x = 23,433.71 × 9,907.11
  4. Step 4: Simplify right side
    16,982.06x = 232,160,293.14
  5. Step 5: Solve for x
    x = 232,160,293.14/16,982.06
  6. Step 6: Final answer
    x = 13,670.92

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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.