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Finding the Fourth Proportional to 16,039.04, 24,058.56 and 7,824

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Solution

The fourth proportional to 16,039.04, 24,058.56 and 7,824 is: 11,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.04 : 24,058.56 = 7,824 : x
  2. Step 2: Convert to fraction form
    16,039.04/24,058.56 = 7,824/x
  3. Step 3: Cross multiply
    16,039.04x = 24,058.56 × 7,824
  4. Step 4: Simplify right side
    16,039.04x = 188,234,173.44
  5. Step 5: Solve for x
    x = 188,234,173.44/16,039.04
  6. Step 6: Final answer
    x = 11,736

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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.