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Finding the Fourth Proportional to 13,688.94, 20,533.42 and 4,811.24

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Solution

The fourth proportional to 13,688.94, 20,533.42 and 4,811.24 is: 7,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.94 : 20,533.42 = 4,811.24 : x
  2. Step 2: Convert to fraction form
    13,688.94/20,533.42 = 4,811.24/x
  3. Step 3: Cross multiply
    13,688.94x = 20,533.42 × 4,811.24
  4. Step 4: Simplify right side
    13,688.94x = 98,791,203.43
  5. Step 5: Solve for x
    x = 98,791,203.43/13,688.94
  6. Step 6: Final answer
    x = 7,216.86

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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.