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Finding the Fourth Proportional to 13,782.71, 19,024.46 and 8,117.03

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Solution

The fourth proportional to 13,782.71, 19,024.46 and 8,117.03 is: 11,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.71 : 19,024.46 = 8,117.03 : x
  2. Step 2: Convert to fraction form
    13,782.71/19,024.46 = 8,117.03/x
  3. Step 3: Cross multiply
    13,782.71x = 19,024.46 × 8,117.03
  4. Step 4: Simplify right side
    13,782.71x = 154,421,976.85
  5. Step 5: Solve for x
    x = 154,421,976.85/13,782.71
  6. Step 6: Final answer
    x = 11,204.04

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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.