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Finding the Fourth Proportional to 14,131.49, 19,503.11 and 7,844.27

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Solution

The fourth proportional to 14,131.49, 19,503.11 and 7,844.27 is: 10,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.49 : 19,503.11 = 7,844.27 : x
  2. Step 2: Convert to fraction form
    14,131.49/19,503.11 = 7,844.27/x
  3. Step 3: Cross multiply
    14,131.49x = 19,503.11 × 7,844.27
  4. Step 4: Simplify right side
    14,131.49x = 152,987,582.77
  5. Step 5: Solve for x
    x = 152,987,582.77/14,131.49
  6. Step 6: Final answer
    x = 10,826.01

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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.