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Finding the Fourth Proportional to 22,649.40, 31,256.37 and 13,216.14

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Solution

The fourth proportional to 22,649.40, 31,256.37 and 13,216.14 is: 18,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.40 : 31,256.37 = 13,216.14 : x
  2. Step 2: Convert to fraction form
    22,649.40/31,256.37 = 13,216.14/x
  3. Step 3: Cross multiply
    22,649.40x = 31,256.37 × 13,216.14
  4. Step 4: Simplify right side
    22,649.40x = 413,088,561.81
  5. Step 5: Solve for x
    x = 413,088,561.81/22,649.40
  6. Step 6: Final answer
    x = 18,238.39

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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.