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Finding the Fourth Proportional to 13,709.61, 20,565.99 and 5,388.53

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Solution

The fourth proportional to 13,709.61, 20,565.99 and 5,388.53 is: 8,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.61 : 20,565.99 = 5,388.53 : x
  2. Step 2: Convert to fraction form
    13,709.61/20,565.99 = 5,388.53/x
  3. Step 3: Cross multiply
    13,709.61x = 20,565.99 × 5,388.53
  4. Step 4: Simplify right side
    13,709.61x = 110,820,351.26
  5. Step 5: Solve for x
    x = 110,820,351.26/13,709.61
  6. Step 6: Final answer
    x = 8,083.41

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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.