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Finding the Fourth Proportional to 12,696.54, 19,051.29 and 5,770.14

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Solution

The fourth proportional to 12,696.54, 19,051.29 and 5,770.14 is: 8,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.54 : 19,051.29 = 5,770.14 : x
  2. Step 2: Convert to fraction form
    12,696.54/19,051.29 = 5,770.14/x
  3. Step 3: Cross multiply
    12,696.54x = 19,051.29 × 5,770.14
  4. Step 4: Simplify right side
    12,696.54x = 109,928,610.48
  5. Step 5: Solve for x
    x = 109,928,610.48/12,696.54
  6. Step 6: Final answer
    x = 8,658.15

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Why These Related Problems?

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