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Finding the Fourth Proportional to 22,997.25, 34,501.95 and 7,415.28

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Solution

The fourth proportional to 22,997.25, 34,501.95 and 7,415.28 is: 11,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.25 : 34,501.95 = 7,415.28 : x
  2. Step 2: Convert to fraction form
    22,997.25/34,501.95 = 7,415.28/x
  3. Step 3: Cross multiply
    22,997.25x = 34,501.95 × 7,415.28
  4. Step 4: Simplify right side
    22,997.25x = 255,841,619.80
  5. Step 5: Solve for x
    x = 255,841,619.80/22,997.25
  6. Step 6: Final answer
    x = 11,124.88

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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.