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Finding the Fourth Proportional to 23,166, 31,968.90 and 12,555.36

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Solution

The fourth proportional to 23,166, 31,968.90 and 12,555.36 is: 17,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166 : 31,968.90 = 12,555.36 : x
  2. Step 2: Convert to fraction form
    23,166/31,968.90 = 12,555.36/x
  3. Step 3: Cross multiply
    23,166x = 31,968.90 × 12,555.36
  4. Step 4: Simplify right side
    23,166x = 401,381,048.30
  5. Step 5: Solve for x
    x = 401,381,048.30/23,166
  6. Step 6: Final answer
    x = 17,326.30

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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.