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Finding the Fourth Proportional to 22,649.64, 31,257.28 and 12,578.24

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Solution

The fourth proportional to 22,649.64, 31,257.28 and 12,578.24 is: 17,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.64 : 31,257.28 = 12,578.24 : x
  2. Step 2: Convert to fraction form
    22,649.64/31,257.28 = 12,578.24/x
  3. Step 3: Cross multiply
    22,649.64x = 31,257.28 × 12,578.24
  4. Step 4: Simplify right side
    22,649.64x = 393,161,569.59
  5. Step 5: Solve for x
    x = 393,161,569.59/22,649.64
  6. Step 6: Final answer
    x = 17,358.40

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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.