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Finding the Fourth Proportional to 14,046.74, 19,384.53 and 7,759.14

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Solution

The fourth proportional to 14,046.74, 19,384.53 and 7,759.14 is: 10,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.74 : 19,384.53 = 7,759.14 : x
  2. Step 2: Convert to fraction form
    14,046.74/19,384.53 = 7,759.14/x
  3. Step 3: Cross multiply
    14,046.74x = 19,384.53 × 7,759.14
  4. Step 4: Simplify right side
    14,046.74x = 150,407,282.10
  5. Step 5: Solve for x
    x = 150,407,282.10/14,046.74
  6. Step 6: Final answer
    x = 10,707.63

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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.