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Finding the Fourth Proportional to 19,412.24, 29,080.80 and 11,994.80

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Solution

The fourth proportional to 19,412.24, 29,080.80 and 11,994.80 is: 17,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.24 : 29,080.80 = 11,994.80 : x
  2. Step 2: Convert to fraction form
    19,412.24/29,080.80 = 11,994.80/x
  3. Step 3: Cross multiply
    19,412.24x = 29,080.80 × 11,994.80
  4. Step 4: Simplify right side
    19,412.24x = 348,818,379.84
  5. Step 5: Solve for x
    x = 348,818,379.84/19,412.24
  6. Step 6: Final answer
    x = 17,968.99

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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.