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Finding the Fourth Proportional to 22,520.58, 31,077.42 and 12,448.50

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Solution

The fourth proportional to 22,520.58, 31,077.42 and 12,448.50 is: 17,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.58 : 31,077.42 = 12,448.50 : x
  2. Step 2: Convert to fraction form
    22,520.58/31,077.42 = 12,448.50/x
  3. Step 3: Cross multiply
    22,520.58x = 31,077.42 × 12,448.50
  4. Step 4: Simplify right side
    22,520.58x = 386,867,262.87
  5. Step 5: Solve for x
    x = 386,867,262.87/22,520.58
  6. Step 6: Final answer
    x = 17,178.39

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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.