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Finding the Fourth Proportional to 19,193.51, 28,768.41 and 11,680.50

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Solution

The fourth proportional to 19,193.51, 28,768.41 and 11,680.50 is: 17,507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,193.51 : 28,768.41 = 11,680.50 : x
  2. Step 2: Convert to fraction form
    19,193.51/28,768.41 = 11,680.50/x
  3. Step 3: Cross multiply
    19,193.51x = 28,768.41 × 11,680.50
  4. Step 4: Simplify right side
    19,193.51x = 336,029,413.01
  5. Step 5: Solve for x
    x = 336,029,413.01/19,193.51
  6. Step 6: Final answer
    x = 17,507.45

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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.