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Finding the Fourth Proportional to 13,178.10, 19,767.87 and 4,412.22

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Solution

The fourth proportional to 13,178.10, 19,767.87 and 4,412.22 is: 6,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.10 : 19,767.87 = 4,412.22 : x
  2. Step 2: Convert to fraction form
    13,178.10/19,767.87 = 4,412.22/x
  3. Step 3: Cross multiply
    13,178.10x = 19,767.87 × 4,412.22
  4. Step 4: Simplify right side
    13,178.10x = 87,220,191.37
  5. Step 5: Solve for x
    x = 87,220,191.37/13,178.10
  6. Step 6: Final answer
    x = 6,618.57

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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.