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Finding the Fourth Proportional to 13,782.26, 19,019.95 and 7,814.18

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Solution

The fourth proportional to 13,782.26, 19,019.95 and 7,814.18 is: 10,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.26 : 19,019.95 = 7,814.18 : x
  2. Step 2: Convert to fraction form
    13,782.26/19,019.95 = 7,814.18/x
  3. Step 3: Cross multiply
    13,782.26x = 19,019.95 × 7,814.18
  4. Step 4: Simplify right side
    13,782.26x = 148,625,340.91
  5. Step 5: Solve for x
    x = 148,625,340.91/13,782.26
  6. Step 6: Final answer
    x = 10,783.81

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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.