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Finding the Fourth Proportional to 13,384.87, 20,077.53 and 3,523.77

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Solution

The fourth proportional to 13,384.87, 20,077.53 and 3,523.77 is: 5,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.87 : 20,077.53 = 3,523.77 : x
  2. Step 2: Convert to fraction form
    13,384.87/20,077.53 = 3,523.77/x
  3. Step 3: Cross multiply
    13,384.87x = 20,077.53 × 3,523.77
  4. Step 4: Simplify right side
    13,384.87x = 70,748,597.89
  5. Step 5: Solve for x
    x = 70,748,597.89/13,384.87
  6. Step 6: Final answer
    x = 5,285.71

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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.