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Finding the Fourth Proportional to 13,587.25, 20,381.32 and 4,099.99

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Solution

The fourth proportional to 13,587.25, 20,381.32 and 4,099.99 is: 6,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.25 : 20,381.32 = 4,099.99 : x
  2. Step 2: Convert to fraction form
    13,587.25/20,381.32 = 4,099.99/x
  3. Step 3: Cross multiply
    13,587.25x = 20,381.32 × 4,099.99
  4. Step 4: Simplify right side
    13,587.25x = 83,563,200.57
  5. Step 5: Solve for x
    x = 83,563,200.57/13,587.25
  6. Step 6: Final answer
    x = 6,150.12

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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.