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Finding the Fourth Proportional to 13,630.86, 18,812.25 and 7,662.78

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Solution

The fourth proportional to 13,630.86, 18,812.25 and 7,662.78 is: 10,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.86 : 18,812.25 = 7,662.78 : x
  2. Step 2: Convert to fraction form
    13,630.86/18,812.25 = 7,662.78/x
  3. Step 3: Cross multiply
    13,630.86x = 18,812.25 × 7,662.78
  4. Step 4: Simplify right side
    13,630.86x = 144,154,133.06
  5. Step 5: Solve for x
    x = 144,154,133.06/13,630.86
  6. Step 6: Final answer
    x = 10,575.57

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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.