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Finding the Fourth Proportional to 13,509.94, 20,267.07 and 5,718.82

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Solution

The fourth proportional to 13,509.94, 20,267.07 and 5,718.82 is: 8,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.94 : 20,267.07 = 5,718.82 : x
  2. Step 2: Convert to fraction form
    13,509.94/20,267.07 = 5,718.82/x
  3. Step 3: Cross multiply
    13,509.94x = 20,267.07 × 5,718.82
  4. Step 4: Simplify right side
    13,509.94x = 115,903,725.26
  5. Step 5: Solve for x
    x = 115,903,725.26/13,509.94
  6. Step 6: Final answer
    x = 8,579.14

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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.