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Finding the Fourth Proportional to 22,649.14, 31,256.59 and 12,577.74

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Solution

The fourth proportional to 22,649.14, 31,256.59 and 12,577.74 is: 17,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.14 : 31,256.59 = 12,577.74 : x
  2. Step 2: Convert to fraction form
    22,649.14/31,256.59 = 12,577.74/x
  3. Step 3: Cross multiply
    22,649.14x = 31,256.59 × 12,577.74
  4. Step 4: Simplify right side
    22,649.14x = 393,137,262.31
  5. Step 5: Solve for x
    x = 393,137,262.31/22,649.14
  6. Step 6: Final answer
    x = 17,357.71

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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.