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Finding the Fourth Proportional to 23,164.88, 31,967.55 and 12,554.51

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Solution

The fourth proportional to 23,164.88, 31,967.55 and 12,554.51 is: 17,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.88 : 31,967.55 = 12,554.51 : x
  2. Step 2: Convert to fraction form
    23,164.88/31,967.55 = 12,554.51/x
  3. Step 3: Cross multiply
    23,164.88x = 31,967.55 × 12,554.51
  4. Step 4: Simplify right side
    23,164.88x = 401,337,006.07
  5. Step 5: Solve for x
    x = 401,337,006.07/23,164.88
  6. Step 6: Final answer
    x = 17,325.23

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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.