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Finding the Fourth Proportional to 19,180, 26,468.40 and 10,796.56

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Solution

The fourth proportional to 19,180, 26,468.40 and 10,796.56 is: 14,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,180 : 26,468.40 = 10,796.56 : x
  2. Step 2: Convert to fraction form
    19,180/26,468.40 = 10,796.56/x
  3. Step 3: Cross multiply
    19,180x = 26,468.40 × 10,796.56
  4. Step 4: Simplify right side
    19,180x = 285,767,668.70
  5. Step 5: Solve for x
    x = 285,767,668.70/19,180
  6. Step 6: Final answer
    x = 14,899.25

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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.