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Finding the Fourth Proportional to 13,413.96, 18,510.42 and 7,445.28

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Solution

The fourth proportional to 13,413.96, 18,510.42 and 7,445.28 is: 10,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.96 : 18,510.42 = 7,445.28 : x
  2. Step 2: Convert to fraction form
    13,413.96/18,510.42 = 7,445.28/x
  3. Step 3: Cross multiply
    13,413.96x = 18,510.42 × 7,445.28
  4. Step 4: Simplify right side
    13,413.96x = 137,815,259.82
  5. Step 5: Solve for x
    x = 137,815,259.82/13,413.96
  6. Step 6: Final answer
    x = 10,274.02

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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.