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Finding the Fourth Proportional to 23,164.65, 31,967.20 and 12,554.28

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Solution

The fourth proportional to 23,164.65, 31,967.20 and 12,554.28 is: 17,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.65 : 31,967.20 = 12,554.28 : x
  2. Step 2: Convert to fraction form
    23,164.65/31,967.20 = 12,554.28/x
  3. Step 3: Cross multiply
    23,164.65x = 31,967.20 × 12,554.28
  4. Step 4: Simplify right side
    23,164.65x = 401,325,019.78
  5. Step 5: Solve for x
    x = 401,325,019.78/23,164.65
  6. Step 6: Final answer
    x = 17,324.89

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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.