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Finding the Fourth Proportional to 13,533.84, 20,293.84 and 6,513.71

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Solution

The fourth proportional to 13,533.84, 20,293.84 and 6,513.71 is: 9,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.84 : 20,293.84 = 6,513.71 : x
  2. Step 2: Convert to fraction form
    13,533.84/20,293.84 = 6,513.71/x
  3. Step 3: Cross multiply
    13,533.84x = 20,293.84 × 6,513.71
  4. Step 4: Simplify right side
    13,533.84x = 132,188,095.22
  5. Step 5: Solve for x
    x = 132,188,095.22/13,533.84
  6. Step 6: Final answer
    x = 9,767.23

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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.