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Finding the Fourth Proportional to 23,164.84, 31,967.53 and 12,554.47

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Solution

The fourth proportional to 23,164.84, 31,967.53 and 12,554.47 is: 17,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.84 : 31,967.53 = 12,554.47 : x
  2. Step 2: Convert to fraction form
    23,164.84/31,967.53 = 12,554.47/x
  3. Step 3: Cross multiply
    23,164.84x = 31,967.53 × 12,554.47
  4. Step 4: Simplify right side
    23,164.84x = 401,335,316.44
  5. Step 5: Solve for x
    x = 401,335,316.44/23,164.84
  6. Step 6: Final answer
    x = 17,325.19

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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.