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Finding the Fourth Proportional to 13,214.50, 18,236.01 and 7,628.74

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Solution

The fourth proportional to 13,214.50, 18,236.01 and 7,628.74 is: 10,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.50 : 18,236.01 = 7,628.74 : x
  2. Step 2: Convert to fraction form
    13,214.50/18,236.01 = 7,628.74/x
  3. Step 3: Cross multiply
    13,214.50x = 18,236.01 × 7,628.74
  4. Step 4: Simplify right side
    13,214.50x = 139,117,778.93
  5. Step 5: Solve for x
    x = 139,117,778.93/13,214.50
  6. Step 6: Final answer
    x = 10,527.66

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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.