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Finding the Fourth Proportional to 23,166.23, 31,957.63 and 14,654.01

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Solution

The fourth proportional to 23,166.23, 31,957.63 and 14,654.01 is: 20,215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166.23 : 31,957.63 = 14,654.01 : x
  2. Step 2: Convert to fraction form
    23,166.23/31,957.63 = 14,654.01/x
  3. Step 3: Cross multiply
    23,166.23x = 31,957.63 × 14,654.01
  4. Step 4: Simplify right side
    23,166.23x = 468,307,429.60
  5. Step 5: Solve for x
    x = 468,307,429.60/23,166.23
  6. Step 6: Final answer
    x = 20,215.09

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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.