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Finding the Fourth Proportional to 22,649.75, 31,256.57 and 12,577.94

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Solution

The fourth proportional to 22,649.75, 31,256.57 and 12,577.94 is: 17,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.75 : 31,256.57 = 12,577.94 : x
  2. Step 2: Convert to fraction form
    22,649.75/31,256.57 = 12,577.94/x
  3. Step 3: Cross multiply
    22,649.75x = 31,256.57 × 12,577.94
  4. Step 4: Simplify right side
    22,649.75x = 393,143,042.89
  5. Step 5: Solve for x
    x = 393,143,042.89/22,649.75
  6. Step 6: Final answer
    x = 17,357.50

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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.