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Finding the Fourth Proportional to 14,905.87, 20,570.39 and 8,191.09

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Solution

The fourth proportional to 14,905.87, 20,570.39 and 8,191.09 is: 11,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.87 : 20,570.39 = 8,191.09 : x
  2. Step 2: Convert to fraction form
    14,905.87/20,570.39 = 8,191.09/x
  3. Step 3: Cross multiply
    14,905.87x = 20,570.39 × 8,191.09
  4. Step 4: Simplify right side
    14,905.87x = 168,493,931.30
  5. Step 5: Solve for x
    x = 168,493,931.30/14,905.87
  6. Step 6: Final answer
    x = 11,303.87

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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.