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Finding the Fourth Proportional to 14,065.20, 19,409.94 and 7,777.62

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Solution

The fourth proportional to 14,065.20, 19,409.94 and 7,777.62 is: 10,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.20 : 19,409.94 = 7,777.62 : x
  2. Step 2: Convert to fraction form
    14,065.20/19,409.94 = 7,777.62/x
  3. Step 3: Cross multiply
    14,065.20x = 19,409.94 × 7,777.62
  4. Step 4: Simplify right side
    14,065.20x = 150,963,137.54
  5. Step 5: Solve for x
    x = 150,963,137.54/14,065.20
  6. Step 6: Final answer
    x = 10,733.10

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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.