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Finding the Fourth Proportional to 22,649.31, 31,256.12 and 12,577.77

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Solution

The fourth proportional to 22,649.31, 31,256.12 and 12,577.77 is: 17,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.31 : 31,256.12 = 12,577.77 : x
  2. Step 2: Convert to fraction form
    22,649.31/31,256.12 = 12,577.77/x
  3. Step 3: Cross multiply
    22,649.31x = 31,256.12 × 12,577.77
  4. Step 4: Simplify right side
    22,649.31x = 393,132,288.45
  5. Step 5: Solve for x
    x = 393,132,288.45/22,649.31
  6. Step 6: Final answer
    x = 17,357.36

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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.