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Finding the Fourth Proportional to 22,733.66, 31,372.37 and 12,661.50

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Solution

The fourth proportional to 22,733.66, 31,372.37 and 12,661.50 is: 17,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733.66 : 31,372.37 = 12,661.50 : x
  2. Step 2: Convert to fraction form
    22,733.66/31,372.37 = 12,661.50/x
  3. Step 3: Cross multiply
    22,733.66x = 31,372.37 × 12,661.50
  4. Step 4: Simplify right side
    22,733.66x = 397,221,199.45
  5. Step 5: Solve for x
    x = 397,221,199.45/22,733.66
  6. Step 6: Final answer
    x = 17,472.83

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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.