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Finding the Fourth Proportional to 17,836.57, 24,612.14 and 10,283.18

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Solution

The fourth proportional to 17,836.57, 24,612.14 and 10,283.18 is: 14,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,836.57 : 24,612.14 = 10,283.18 : x
  2. Step 2: Convert to fraction form
    17,836.57/24,612.14 = 10,283.18/x
  3. Step 3: Cross multiply
    17,836.57x = 24,612.14 × 10,283.18
  4. Step 4: Simplify right side
    17,836.57x = 253,091,014.39
  5. Step 5: Solve for x
    x = 253,091,014.39/17,836.57
  6. Step 6: Final answer
    x = 14,189.45

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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.