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Finding the Fourth Proportional to 12,618.32, 17,413.28 and 7,316.21

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Solution

The fourth proportional to 12,618.32, 17,413.28 and 7,316.21 is: 10,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.32 : 17,413.28 = 7,316.21 : x
  2. Step 2: Convert to fraction form
    12,618.32/17,413.28 = 7,316.21/x
  3. Step 3: Cross multiply
    12,618.32x = 17,413.28 × 7,316.21
  4. Step 4: Simplify right side
    12,618.32x = 127,399,089.62
  5. Step 5: Solve for x
    x = 127,399,089.62/12,618.32
  6. Step 6: Final answer
    x = 10,096.36

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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.