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Finding the Fourth Proportional to 13,387.25, 18,451.33 and 8,902.98

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Solution

The fourth proportional to 13,387.25, 18,451.33 and 8,902.98 is: 12,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.25 : 18,451.33 = 8,902.98 : x
  2. Step 2: Convert to fraction form
    13,387.25/18,451.33 = 8,902.98/x
  3. Step 3: Cross multiply
    13,387.25x = 18,451.33 × 8,902.98
  4. Step 4: Simplify right side
    13,387.25x = 164,271,821.96
  5. Step 5: Solve for x
    x = 164,271,821.96/13,387.25
  6. Step 6: Final answer
    x = 12,270.77

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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.