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Finding the Fourth Proportional to 13,055.69, 19,583.54 and 7,894.37

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Solution

The fourth proportional to 13,055.69, 19,583.54 and 7,894.37 is: 11,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055.69 : 19,583.54 = 7,894.37 : x
  2. Step 2: Convert to fraction form
    13,055.69/19,583.54 = 7,894.37/x
  3. Step 3: Cross multiply
    13,055.69x = 19,583.54 × 7,894.37
  4. Step 4: Simplify right side
    13,055.69x = 154,599,671.20
  5. Step 5: Solve for x
    x = 154,599,671.20/13,055.69
  6. Step 6: Final answer
    x = 11,841.56

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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.