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Finding the Fourth Proportional to 13,782.47, 19,019.39 and 7,814.66

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Solution

The fourth proportional to 13,782.47, 19,019.39 and 7,814.66 is: 10,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.47 : 19,019.39 = 7,814.66 : x
  2. Step 2: Convert to fraction form
    13,782.47/19,019.39 = 7,814.66/x
  3. Step 3: Cross multiply
    13,782.47x = 19,019.39 × 7,814.66
  4. Step 4: Simplify right side
    13,782.47x = 148,629,932.09
  5. Step 5: Solve for x
    x = 148,629,932.09/13,782.47
  6. Step 6: Final answer
    x = 10,783.99

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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.