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Finding the Fourth Proportional to 13,782.70, 19,020.12 and 7,814.36

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Solution

The fourth proportional to 13,782.70, 19,020.12 and 7,814.36 is: 10,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.70 : 19,020.12 = 7,814.36 : x
  2. Step 2: Convert to fraction form
    13,782.70/19,020.12 = 7,814.36/x
  3. Step 3: Cross multiply
    13,782.70x = 19,020.12 × 7,814.36
  4. Step 4: Simplify right side
    13,782.70x = 148,630,112.47
  5. Step 5: Solve for x
    x = 148,630,112.47/13,782.70
  6. Step 6: Final answer
    x = 10,783.82

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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.