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Finding the Fourth Proportional to 18,097.40, 24,975.44 and 10,142.19

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Solution

The fourth proportional to 18,097.40, 24,975.44 and 10,142.19 is: 13,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.40 : 24,975.44 = 10,142.19 : x
  2. Step 2: Convert to fraction form
    18,097.40/24,975.44 = 10,142.19/x
  3. Step 3: Cross multiply
    18,097.40x = 24,975.44 × 10,142.19
  4. Step 4: Simplify right side
    18,097.40x = 253,305,657.81
  5. Step 5: Solve for x
    x = 253,305,657.81/18,097.40
  6. Step 6: Final answer
    x = 13,996.80

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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.