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Finding the Fourth Proportional to 13,824, 19,077.12 and 8,856

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Solution

The fourth proportional to 13,824, 19,077.12 and 8,856 is: 12,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 19,077.12 = 8,856 : x
  2. Step 2: Convert to fraction form
    13,824/19,077.12 = 8,856/x
  3. Step 3: Cross multiply
    13,824x = 19,077.12 × 8,856
  4. Step 4: Simplify right side
    13,824x = 168,946,974.72
  5. Step 5: Solve for x
    x = 168,946,974.72/13,824
  6. Step 6: Final answer
    x = 12,221.28

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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.