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Finding the Fourth Proportional to 22,636.36, 31,256.82 and 14,692.24

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Solution

The fourth proportional to 22,636.36, 31,256.82 and 14,692.24 is: 20,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.36 : 31,256.82 = 14,692.24 : x
  2. Step 2: Convert to fraction form
    22,636.36/31,256.82 = 14,692.24/x
  3. Step 3: Cross multiply
    22,636.36x = 31,256.82 × 14,692.24
  4. Step 4: Simplify right side
    22,636.36x = 459,232,701.08
  5. Step 5: Solve for x
    x = 459,232,701.08/22,636.36
  6. Step 6: Final answer
    x = 20,287.39

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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.