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Finding the Fourth Proportional to 13,608.41, 18,778.32 and 7,638.98

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Solution

The fourth proportional to 13,608.41, 18,778.32 and 7,638.98 is: 10,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.41 : 18,778.32 = 7,638.98 : x
  2. Step 2: Convert to fraction form
    13,608.41/18,778.32 = 7,638.98/x
  3. Step 3: Cross multiply
    13,608.41x = 18,778.32 × 7,638.98
  4. Step 4: Simplify right side
    13,608.41x = 143,447,210.91
  5. Step 5: Solve for x
    x = 143,447,210.91/13,608.41
  6. Step 6: Final answer
    x = 10,541.07

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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.