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Finding the Fourth Proportional to 26,413.52, 39,597.70 and 9,770.46

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Solution

The fourth proportional to 26,413.52, 39,597.70 and 9,770.46 is: 14,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.52 : 39,597.70 = 9,770.46 : x
  2. Step 2: Convert to fraction form
    26,413.52/39,597.70 = 9,770.46/x
  3. Step 3: Cross multiply
    26,413.52x = 39,597.70 × 9,770.46
  4. Step 4: Simplify right side
    26,413.52x = 386,887,743.94
  5. Step 5: Solve for x
    x = 386,887,743.94/26,413.52
  6. Step 6: Final answer
    x = 14,647.34

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