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Finding the Fourth Proportional to 14,209.86, 19,610.78 and 7,837.70

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Solution

The fourth proportional to 14,209.86, 19,610.78 and 7,837.70 is: 10,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.86 : 19,610.78 = 7,837.70 : x
  2. Step 2: Convert to fraction form
    14,209.86/19,610.78 = 7,837.70/x
  3. Step 3: Cross multiply
    14,209.86x = 19,610.78 × 7,837.70
  4. Step 4: Simplify right side
    14,209.86x = 153,703,371.22
  5. Step 5: Solve for x
    x = 153,703,371.22/14,209.86
  6. Step 6: Final answer
    x = 10,816.67

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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.