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Finding the Fourth Proportional to 15,413.20, 21,259.08 and 9,826

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Solution

The fourth proportional to 15,413.20, 21,259.08 and 9,826 is: 13,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.20 : 21,259.08 = 9,826 : x
  2. Step 2: Convert to fraction form
    15,413.20/21,259.08 = 9,826/x
  3. Step 3: Cross multiply
    15,413.20x = 21,259.08 × 9,826
  4. Step 4: Simplify right side
    15,413.20x = 208,891,720.08
  5. Step 5: Solve for x
    x = 208,891,720.08/15,413.20
  6. Step 6: Final answer
    x = 13,552.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.