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Finding the Fourth Proportional to 18,046.80, 24,905.40 and 10,089

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Solution

The fourth proportional to 18,046.80, 24,905.40 and 10,089 is: 13,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046.80 : 24,905.40 = 10,089 : x
  2. Step 2: Convert to fraction form
    18,046.80/24,905.40 = 10,089/x
  3. Step 3: Cross multiply
    18,046.80x = 24,905.40 × 10,089
  4. Step 4: Simplify right side
    18,046.80x = 251,270,580.60
  5. Step 5: Solve for x
    x = 251,270,580.60/18,046.80
  6. Step 6: Final answer
    x = 13,923.28

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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.