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Finding the Fourth Proportional to 14,273.79, 21,413.94 and 7,699.83

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Solution

The fourth proportional to 14,273.79, 21,413.94 and 7,699.83 is: 11,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,273.79 : 21,413.94 = 7,699.83 : x
  2. Step 2: Convert to fraction form
    14,273.79/21,413.94 = 7,699.83/x
  3. Step 3: Cross multiply
    14,273.79x = 21,413.94 × 7,699.83
  4. Step 4: Simplify right side
    14,273.79x = 164,883,697.63
  5. Step 5: Solve for x
    x = 164,883,697.63/14,273.79
  6. Step 6: Final answer
    x = 11,551.50

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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.