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Finding the Fourth Proportional to 14,131.78, 19,501.08 and 7,843.78

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Solution

The fourth proportional to 14,131.78, 19,501.08 and 7,843.78 is: 10,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.78 : 19,501.08 = 7,843.78 : x
  2. Step 2: Convert to fraction form
    14,131.78/19,501.08 = 7,843.78/x
  3. Step 3: Cross multiply
    14,131.78x = 19,501.08 × 7,843.78
  4. Step 4: Simplify right side
    14,131.78x = 152,962,181.28
  5. Step 5: Solve for x
    x = 152,962,181.28/14,131.78
  6. Step 6: Final answer
    x = 10,823.99

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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.