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Finding the Fourth Proportional to 13,685.62, 18,885.75 and 7,636.02

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Solution

The fourth proportional to 13,685.62, 18,885.75 and 7,636.02 is: 10,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.62 : 18,885.75 = 7,636.02 : x
  2. Step 2: Convert to fraction form
    13,685.62/18,885.75 = 7,636.02/x
  3. Step 3: Cross multiply
    13,685.62x = 18,885.75 × 7,636.02
  4. Step 4: Simplify right side
    13,685.62x = 144,211,964.72
  5. Step 5: Solve for x
    x = 144,211,964.72/13,685.62
  6. Step 6: Final answer
    x = 10,537.48

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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.