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Finding the Fourth Proportional to 17,906.40, 26,858.64 and 9,140.96

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Solution

The fourth proportional to 17,906.40, 26,858.64 and 9,140.96 is: 13,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.40 : 26,858.64 = 9,140.96 : x
  2. Step 2: Convert to fraction form
    17,906.40/26,858.64 = 9,140.96/x
  3. Step 3: Cross multiply
    17,906.40x = 26,858.64 × 9,140.96
  4. Step 4: Simplify right side
    17,906.40x = 245,513,753.89
  5. Step 5: Solve for x
    x = 245,513,753.89/17,906.40
  6. Step 6: Final answer
    x = 13,710.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.