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Finding the Fourth Proportional to 13,509.54, 20,264.31 and 5,718.42

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Solution

The fourth proportional to 13,509.54, 20,264.31 and 5,718.42 is: 8,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.54 : 20,264.31 = 5,718.42 : x
  2. Step 2: Convert to fraction form
    13,509.54/20,264.31 = 5,718.42/x
  3. Step 3: Cross multiply
    13,509.54x = 20,264.31 × 5,718.42
  4. Step 4: Simplify right side
    13,509.54x = 115,879,835.59
  5. Step 5: Solve for x
    x = 115,879,835.59/13,509.54
  6. Step 6: Final answer
    x = 8,577.63

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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.