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Finding the Fourth Proportional to 12,413.90, 17,128.32 and 7,695.92

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Solution

The fourth proportional to 12,413.90, 17,128.32 and 7,695.92 is: 10,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.90 : 17,128.32 = 7,695.92 : x
  2. Step 2: Convert to fraction form
    12,413.90/17,128.32 = 7,695.92/x
  3. Step 3: Cross multiply
    12,413.90x = 17,128.32 × 7,695.92
  4. Step 4: Simplify right side
    12,413.90x = 131,818,180.45
  5. Step 5: Solve for x
    x = 131,818,180.45/12,413.90
  6. Step 6: Final answer
    x = 10,618.60

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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.