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Finding the Fourth Proportional to 12,618.93, 17,413.50 and 7,315.47

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Solution

The fourth proportional to 12,618.93, 17,413.50 and 7,315.47 is: 10,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.93 : 17,413.50 = 7,315.47 : x
  2. Step 2: Convert to fraction form
    12,618.93/17,413.50 = 7,315.47/x
  3. Step 3: Cross multiply
    12,618.93x = 17,413.50 × 7,315.47
  4. Step 4: Simplify right side
    12,618.93x = 127,387,936.85
  5. Step 5: Solve for x
    x = 127,387,936.85/12,618.93
  6. Step 6: Final answer
    x = 10,094.99

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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.