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Finding the Fourth Proportional to 14,069.76, 19,416.26 and 7,782.54

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Solution

The fourth proportional to 14,069.76, 19,416.26 and 7,782.54 is: 10,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.76 : 19,416.26 = 7,782.54 : x
  2. Step 2: Convert to fraction form
    14,069.76/19,416.26 = 7,782.54/x
  3. Step 3: Cross multiply
    14,069.76x = 19,416.26 × 7,782.54
  4. Step 4: Simplify right side
    14,069.76x = 151,107,820.10
  5. Step 5: Solve for x
    x = 151,107,820.10/14,069.76
  6. Step 6: Final answer
    x = 10,739.90

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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.