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Finding the Fourth Proportional to 15,515.34, 21,413.07 and 9,227.58

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Solution

The fourth proportional to 15,515.34, 21,413.07 and 9,227.58 is: 12,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,515.34 : 21,413.07 = 9,227.58 : x
  2. Step 2: Convert to fraction form
    15,515.34/21,413.07 = 9,227.58/x
  3. Step 3: Cross multiply
    15,515.34x = 21,413.07 × 9,227.58
  4. Step 4: Simplify right side
    15,515.34x = 197,590,816.47
  5. Step 5: Solve for x
    x = 197,590,816.47/15,515.34
  6. Step 6: Final answer
    x = 12,735.19

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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.