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Finding the Fourth Proportional to 22,577, 33,866.94 and 7,583.51

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Solution

The fourth proportional to 22,577, 33,866.94 and 7,583.51 is: 11,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577 : 33,866.94 = 7,583.51 : x
  2. Step 2: Convert to fraction form
    22,577/33,866.94 = 7,583.51/x
  3. Step 3: Cross multiply
    22,577x = 33,866.94 × 7,583.51
  4. Step 4: Simplify right side
    22,577x = 256,830,278.16
  5. Step 5: Solve for x
    x = 256,830,278.16/22,577
  6. Step 6: Final answer
    x = 11,375.75

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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.