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Finding the Fourth Proportional to 23,164.86, 31,967.28 and 12,554.32

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Solution

The fourth proportional to 23,164.86, 31,967.28 and 12,554.32 is: 17,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.86 : 31,967.28 = 12,554.32 : x
  2. Step 2: Convert to fraction form
    23,164.86/31,967.28 = 12,554.32/x
  3. Step 3: Cross multiply
    23,164.86x = 31,967.28 × 12,554.32
  4. Step 4: Simplify right side
    23,164.86x = 401,327,462.65
  5. Step 5: Solve for x
    x = 401,327,462.65/23,164.86
  6. Step 6: Final answer
    x = 17,324.84

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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.