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Finding the Fourth Proportional to 22,636.76, 31,238.72 and 13,203.50

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Solution

The fourth proportional to 22,636.76, 31,238.72 and 13,203.50 is: 18,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.76 : 31,238.72 = 13,203.50 : x
  2. Step 2: Convert to fraction form
    22,636.76/31,238.72 = 13,203.50/x
  3. Step 3: Cross multiply
    22,636.76x = 31,238.72 × 13,203.50
  4. Step 4: Simplify right side
    22,636.76x = 412,460,439.52
  5. Step 5: Solve for x
    x = 412,460,439.52/22,636.76
  6. Step 6: Final answer
    x = 18,220.82

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