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Finding the Fourth Proportional to 13,701.03, 18,907.47 and 7,413.41

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Solution

The fourth proportional to 13,701.03, 18,907.47 and 7,413.41 is: 10,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.03 : 18,907.47 = 7,413.41 : x
  2. Step 2: Convert to fraction form
    13,701.03/18,907.47 = 7,413.41/x
  3. Step 3: Cross multiply
    13,701.03x = 18,907.47 × 7,413.41
  4. Step 4: Simplify right side
    13,701.03x = 140,168,827.17
  5. Step 5: Solve for x
    x = 140,168,827.17/13,701.03
  6. Step 6: Final answer
    x = 10,230.53

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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.