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Finding the Fourth Proportional to 13,592.67, 20,388.74 and 5,585.75

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Solution

The fourth proportional to 13,592.67, 20,388.74 and 5,585.75 is: 8,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.67 : 20,388.74 = 5,585.75 : x
  2. Step 2: Convert to fraction form
    13,592.67/20,388.74 = 5,585.75/x
  3. Step 3: Cross multiply
    13,592.67x = 20,388.74 × 5,585.75
  4. Step 4: Simplify right side
    13,592.67x = 113,886,404.46
  5. Step 5: Solve for x
    x = 113,886,404.46/13,592.67
  6. Step 6: Final answer
    x = 8,378.52

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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.