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Finding the Fourth Proportional to 23,733.37, 32,753.07 and 13,123

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Solution

The fourth proportional to 23,733.37, 32,753.07 and 13,123 is: 18,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,733.37 : 32,753.07 = 13,123 : x
  2. Step 2: Convert to fraction form
    23,733.37/32,753.07 = 13,123/x
  3. Step 3: Cross multiply
    23,733.37x = 32,753.07 × 13,123
  4. Step 4: Simplify right side
    23,733.37x = 429,818,537.61
  5. Step 5: Solve for x
    x = 429,818,537.61/23,733.37
  6. Step 6: Final answer
    x = 18,110.30

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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.