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Finding the Fourth Proportional to 14,049.84, 19,388.52 and 7,762.32

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Solution

The fourth proportional to 14,049.84, 19,388.52 and 7,762.32 is: 10,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.84 : 19,388.52 = 7,762.32 : x
  2. Step 2: Convert to fraction form
    14,049.84/19,388.52 = 7,762.32/x
  3. Step 3: Cross multiply
    14,049.84x = 19,388.52 × 7,762.32
  4. Step 4: Simplify right side
    14,049.84x = 150,499,896.57
  5. Step 5: Solve for x
    x = 150,499,896.57/14,049.84
  6. Step 6: Final answer
    x = 10,711.86

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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.