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Finding the Fourth Proportional to 23,270, 32,112.36 and 13,838.36

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Solution

The fourth proportional to 23,270, 32,112.36 and 13,838.36 is: 19,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,270 : 32,112.36 = 13,838.36 : x
  2. Step 2: Convert to fraction form
    23,270/32,112.36 = 13,838.36/x
  3. Step 3: Cross multiply
    23,270x = 32,112.36 × 13,838.36
  4. Step 4: Simplify right side
    23,270x = 444,382,398.13
  5. Step 5: Solve for x
    x = 444,382,398.13/23,270
  6. Step 6: Final answer
    x = 19,096.79

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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.