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Finding the Fourth Proportional to 13,409.87, 20,124.05 and 6,022.62

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Solution

The fourth proportional to 13,409.87, 20,124.05 and 6,022.62 is: 9,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.87 : 20,124.05 = 6,022.62 : x
  2. Step 2: Convert to fraction form
    13,409.87/20,124.05 = 6,022.62/x
  3. Step 3: Cross multiply
    13,409.87x = 20,124.05 × 6,022.62
  4. Step 4: Simplify right side
    13,409.87x = 121,199,475.90
  5. Step 5: Solve for x
    x = 121,199,475.90/13,409.87
  6. Step 6: Final answer
    x = 9,038.08

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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.