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Finding the Fourth Proportional to 13,589.47, 20,384.21 and 3,730.20

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Solution

The fourth proportional to 13,589.47, 20,384.21 and 3,730.20 is: 5,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.47 : 20,384.21 = 3,730.20 : x
  2. Step 2: Convert to fraction form
    13,589.47/20,384.21 = 3,730.20/x
  3. Step 3: Cross multiply
    13,589.47x = 20,384.21 × 3,730.20
  4. Step 4: Simplify right side
    13,589.47x = 76,037,206.71
  5. Step 5: Solve for x
    x = 76,037,206.71/13,589.47
  6. Step 6: Final answer
    x = 5,595.30

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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.