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Finding the Fourth Proportional to 14,211.08, 19,610.81 and 7,837.80

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Solution

The fourth proportional to 14,211.08, 19,610.81 and 7,837.80 is: 10,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.08 : 19,610.81 = 7,837.80 : x
  2. Step 2: Convert to fraction form
    14,211.08/19,610.81 = 7,837.80/x
  3. Step 3: Cross multiply
    14,211.08x = 19,610.81 × 7,837.80
  4. Step 4: Simplify right side
    14,211.08x = 153,705,567.43
  5. Step 5: Solve for x
    x = 153,705,567.43/14,211.08
  6. Step 6: Final answer
    x = 10,815.90

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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.