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Finding the Fourth Proportional to 22,649.16, 31,254.78 and 12,578.24

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Solution

The fourth proportional to 22,649.16, 31,254.78 and 12,578.24 is: 17,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.16 : 31,254.78 = 12,578.24 : x
  2. Step 2: Convert to fraction form
    22,649.16/31,254.78 = 12,578.24/x
  3. Step 3: Cross multiply
    22,649.16x = 31,254.78 × 12,578.24
  4. Step 4: Simplify right side
    22,649.16x = 393,130,123.99
  5. Step 5: Solve for x
    x = 393,130,123.99/22,649.16
  6. Step 6: Final answer
    x = 17,357.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.