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Finding the Fourth Proportional to 23,225.32, 32,046.78 and 13,796.20

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Solution

The fourth proportional to 23,225.32, 32,046.78 and 13,796.20 is: 19,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.32 : 32,046.78 = 13,796.20 : x
  2. Step 2: Convert to fraction form
    23,225.32/32,046.78 = 13,796.20/x
  3. Step 3: Cross multiply
    23,225.32x = 32,046.78 × 13,796.20
  4. Step 4: Simplify right side
    23,225.32x = 442,123,786.24
  5. Step 5: Solve for x
    x = 442,123,786.24/23,225.32
  6. Step 6: Final answer
    x = 19,036.28

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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.