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Finding the Fourth Proportional to 23,768.66, 32,804.22 and 13,695.14

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Solution

The fourth proportional to 23,768.66, 32,804.22 and 13,695.14 is: 18,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,768.66 : 32,804.22 = 13,695.14 : x
  2. Step 2: Convert to fraction form
    23,768.66/32,804.22 = 13,695.14/x
  3. Step 3: Cross multiply
    23,768.66x = 32,804.22 × 13,695.14
  4. Step 4: Simplify right side
    23,768.66x = 449,258,385.49
  5. Step 5: Solve for x
    x = 449,258,385.49/23,768.66
  6. Step 6: Final answer
    x = 18,901.29

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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.