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Finding the Fourth Proportional to 18,570.60, 27,880.62 and 10,785

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Solution

The fourth proportional to 18,570.60, 27,880.62 and 10,785 is: 16,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570.60 : 27,880.62 = 10,785 : x
  2. Step 2: Convert to fraction form
    18,570.60/27,880.62 = 10,785/x
  3. Step 3: Cross multiply
    18,570.60x = 27,880.62 × 10,785
  4. Step 4: Simplify right side
    18,570.60x = 300,692,486.70
  5. Step 5: Solve for x
    x = 300,692,486.70/18,570.60
  6. Step 6: Final answer
    x = 16,191.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.