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Finding the Fourth Proportional to 22,730.64, 34,091.48 and 11,643.28

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Solution

The fourth proportional to 22,730.64, 34,091.48 and 11,643.28 is: 17,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730.64 : 34,091.48 = 11,643.28 : x
  2. Step 2: Convert to fraction form
    22,730.64/34,091.48 = 11,643.28/x
  3. Step 3: Cross multiply
    22,730.64x = 34,091.48 × 11,643.28
  4. Step 4: Simplify right side
    22,730.64x = 396,936,647.25
  5. Step 5: Solve for x
    x = 396,936,647.25/22,730.64
  6. Step 6: Final answer
    x = 17,462.63

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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.