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Finding the Fourth Proportional to 12,413.73, 17,130.23 and 6,748.43

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Solution

The fourth proportional to 12,413.73, 17,130.23 and 6,748.43 is: 9,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.73 : 17,130.23 = 6,748.43 : x
  2. Step 2: Convert to fraction form
    12,413.73/17,130.23 = 6,748.43/x
  3. Step 3: Cross multiply
    12,413.73x = 17,130.23 × 6,748.43
  4. Step 4: Simplify right side
    12,413.73x = 115,602,112.13
  5. Step 5: Solve for x
    x = 115,602,112.13/12,413.73
  6. Step 6: Final answer
    x = 9,312.44

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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.