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Finding the Fourth Proportional to 14,189.78, 19,581.72 and 7,816.22

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Solution

The fourth proportional to 14,189.78, 19,581.72 and 7,816.22 is: 10,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.78 : 19,581.72 = 7,816.22 : x
  2. Step 2: Convert to fraction form
    14,189.78/19,581.72 = 7,816.22/x
  3. Step 3: Cross multiply
    14,189.78x = 19,581.72 × 7,816.22
  4. Step 4: Simplify right side
    14,189.78x = 153,055,031.50
  5. Step 5: Solve for x
    x = 153,055,031.50/14,189.78
  6. Step 6: Final answer
    x = 10,786.29

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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.