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Finding the Fourth Proportional to 13,121.54, 19,682.14 and 7,858.02

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Solution

The fourth proportional to 13,121.54, 19,682.14 and 7,858.02 is: 11,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.54 : 19,682.14 = 7,858.02 : x
  2. Step 2: Convert to fraction form
    13,121.54/19,682.14 = 7,858.02/x
  3. Step 3: Cross multiply
    13,121.54x = 19,682.14 × 7,858.02
  4. Step 4: Simplify right side
    13,121.54x = 154,662,649.76
  5. Step 5: Solve for x
    x = 154,662,649.76/13,121.54
  6. Step 6: Final answer
    x = 11,786.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.