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Finding the Fourth Proportional to 16,985.74, 23,443.10 and 9,912.14

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Solution

The fourth proportional to 16,985.74, 23,443.10 and 9,912.14 is: 13,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985.74 : 23,443.10 = 9,912.14 : x
  2. Step 2: Convert to fraction form
    16,985.74/23,443.10 = 9,912.14/x
  3. Step 3: Cross multiply
    16,985.74x = 23,443.10 × 9,912.14
  4. Step 4: Simplify right side
    16,985.74x = 232,371,289.23
  5. Step 5: Solve for x
    x = 232,371,289.23/16,985.74
  6. Step 6: Final answer
    x = 13,680.37

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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.