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Finding the Fourth Proportional to 13,666.85, 20,491.49 and 5,767.20

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Solution

The fourth proportional to 13,666.85, 20,491.49 and 5,767.20 is: 8,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.85 : 20,491.49 = 5,767.20 : x
  2. Step 2: Convert to fraction form
    13,666.85/20,491.49 = 5,767.20/x
  3. Step 3: Cross multiply
    13,666.85x = 20,491.49 × 5,767.20
  4. Step 4: Simplify right side
    13,666.85x = 118,178,492.29
  5. Step 5: Solve for x
    x = 118,178,492.29/13,666.85
  6. Step 6: Final answer
    x = 8,647.09

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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.