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Finding the Fourth Proportional to 19,608.43, 29,413.02 and 6,460.91

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Solution

The fourth proportional to 19,608.43, 29,413.02 and 6,460.91 is: 9,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.43 : 29,413.02 = 6,460.91 : x
  2. Step 2: Convert to fraction form
    19,608.43/29,413.02 = 6,460.91/x
  3. Step 3: Cross multiply
    19,608.43x = 29,413.02 × 6,460.91
  4. Step 4: Simplify right side
    19,608.43x = 190,035,027.96
  5. Step 5: Solve for x
    x = 190,035,027.96/19,608.43
  6. Step 6: Final answer
    x = 9,691.50

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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.