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Finding the Fourth Proportional to 23,767.56, 32,798.12 and 13,696.29

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Solution

The fourth proportional to 23,767.56, 32,798.12 and 13,696.29 is: 18,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.56 : 32,798.12 = 13,696.29 : x
  2. Step 2: Convert to fraction form
    23,767.56/32,798.12 = 13,696.29/x
  3. Step 3: Cross multiply
    23,767.56x = 32,798.12 × 13,696.29
  4. Step 4: Simplify right side
    23,767.56x = 449,212,494.49
  5. Step 5: Solve for x
    x = 449,212,494.49/23,767.56
  6. Step 6: Final answer
    x = 18,900.24

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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.