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Finding the Fourth Proportional to 13,297.84, 18,353.70 and 7,636.42

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Solution

The fourth proportional to 13,297.84, 18,353.70 and 7,636.42 is: 10,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.84 : 18,353.70 = 7,636.42 : x
  2. Step 2: Convert to fraction form
    13,297.84/18,353.70 = 7,636.42/x
  3. Step 3: Cross multiply
    13,297.84x = 18,353.70 × 7,636.42
  4. Step 4: Simplify right side
    13,297.84x = 140,156,561.75
  5. Step 5: Solve for x
    x = 140,156,561.75/13,297.84
  6. Step 6: Final answer
    x = 10,539.80

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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.