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Finding the Fourth Proportional to 13,607.66, 18,777.55 and 7,638.19

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Solution

The fourth proportional to 13,607.66, 18,777.55 and 7,638.19 is: 10,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.66 : 18,777.55 = 7,638.19 : x
  2. Step 2: Convert to fraction form
    13,607.66/18,777.55 = 7,638.19/x
  3. Step 3: Cross multiply
    13,607.66x = 18,777.55 × 7,638.19
  4. Step 4: Simplify right side
    13,607.66x = 143,426,400.75
  5. Step 5: Solve for x
    x = 143,426,400.75/13,607.66
  6. Step 6: Final answer
    x = 10,540.12

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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.