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Finding the Fourth Proportional to 13,274.48, 18,318.12 and 7,306

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Solution

The fourth proportional to 13,274.48, 18,318.12 and 7,306 is: 10,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.48 : 18,318.12 = 7,306 : x
  2. Step 2: Convert to fraction form
    13,274.48/18,318.12 = 7,306/x
  3. Step 3: Cross multiply
    13,274.48x = 18,318.12 × 7,306
  4. Step 4: Simplify right side
    13,274.48x = 133,832,184.72
  5. Step 5: Solve for x
    x = 133,832,184.72/13,274.48
  6. Step 6: Final answer
    x = 10,081.92

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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.