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Finding the Fourth Proportional to 22,486.60, 31,033.38 and 12,415.96

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Solution

The fourth proportional to 22,486.60, 31,033.38 and 12,415.96 is: 17,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.60 : 31,033.38 = 12,415.96 : x
  2. Step 2: Convert to fraction form
    22,486.60/31,033.38 = 12,415.96/x
  3. Step 3: Cross multiply
    22,486.60x = 31,033.38 × 12,415.96
  4. Step 4: Simplify right side
    22,486.60x = 385,309,204.74
  5. Step 5: Solve for x
    x = 385,309,204.74/22,486.60
  6. Step 6: Final answer
    x = 17,135.06

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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.