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Finding the Fourth Proportional to 13,057.76, 18,022.55 and 8,024.62

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Solution

The fourth proportional to 13,057.76, 18,022.55 and 8,024.62 is: 11,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.76 : 18,022.55 = 8,024.62 : x
  2. Step 2: Convert to fraction form
    13,057.76/18,022.55 = 8,024.62/x
  3. Step 3: Cross multiply
    13,057.76x = 18,022.55 × 8,024.62
  4. Step 4: Simplify right side
    13,057.76x = 144,624,115.18
  5. Step 5: Solve for x
    x = 144,624,115.18/13,057.76
  6. Step 6: Final answer
    x = 11,075.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.