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Finding the Fourth Proportional to 12,924.60, 19,387.44 and 7,719

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Solution

The fourth proportional to 12,924.60, 19,387.44 and 7,719 is: 11,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.60 : 19,387.44 = 7,719 : x
  2. Step 2: Convert to fraction form
    12,924.60/19,387.44 = 7,719/x
  3. Step 3: Cross multiply
    12,924.60x = 19,387.44 × 7,719
  4. Step 4: Simplify right side
    12,924.60x = 149,651,649.36
  5. Step 5: Solve for x
    x = 149,651,649.36/12,924.60
  6. Step 6: Final answer
    x = 11,578.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.