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Finding the Fourth Proportional to 14,334.82, 19,782.36 and 8,047.18

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Solution

The fourth proportional to 14,334.82, 19,782.36 and 8,047.18 is: 11,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.82 : 19,782.36 = 8,047.18 : x
  2. Step 2: Convert to fraction form
    14,334.82/19,782.36 = 8,047.18/x
  3. Step 3: Cross multiply
    14,334.82x = 19,782.36 × 8,047.18
  4. Step 4: Simplify right side
    14,334.82x = 159,192,211.74
  5. Step 5: Solve for x
    x = 159,192,211.74/14,334.82
  6. Step 6: Final answer
    x = 11,105.28

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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.