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Finding the Fourth Proportional to 23,166, 31,972.51 and 14,668.91

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Solution

The fourth proportional to 23,166, 31,972.51 and 14,668.91 is: 20,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166 : 31,972.51 = 14,668.91 : x
  2. Step 2: Convert to fraction form
    23,166/31,972.51 = 14,668.91/x
  3. Step 3: Cross multiply
    23,166x = 31,972.51 × 14,668.91
  4. Step 4: Simplify right side
    23,166x = 469,001,871.66
  5. Step 5: Solve for x
    x = 469,001,871.66/23,166
  6. Step 6: Final answer
    x = 20,245.27

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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.