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Finding the Fourth Proportional to 23,164.59, 31,967.01 and 12,554.13

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Solution

The fourth proportional to 23,164.59, 31,967.01 and 12,554.13 is: 17,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.59 : 31,967.01 = 12,554.13 : x
  2. Step 2: Convert to fraction form
    23,164.59/31,967.01 = 12,554.13/x
  3. Step 3: Cross multiply
    23,164.59x = 31,967.01 × 12,554.13
  4. Step 4: Simplify right side
    23,164.59x = 401,317,999.25
  5. Step 5: Solve for x
    x = 401,317,999.25/23,164.59
  6. Step 6: Final answer
    x = 17,324.63

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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.