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Finding the Fourth Proportional to 13,238.74, 18,269.43 and 7,270.46

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Solution

The fourth proportional to 13,238.74, 18,269.43 and 7,270.46 is: 10,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.74 : 18,269.43 = 7,270.46 : x
  2. Step 2: Convert to fraction form
    13,238.74/18,269.43 = 7,270.46/x
  3. Step 3: Cross multiply
    13,238.74x = 18,269.43 × 7,270.46
  4. Step 4: Simplify right side
    13,238.74x = 132,827,068.69
  5. Step 5: Solve for x
    x = 132,827,068.69/13,238.74
  6. Step 6: Final answer
    x = 10,033.21

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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.