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Finding the Fourth Proportional to 13,754.63, 18,981.62 and 7,467

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Solution

The fourth proportional to 13,754.63, 18,981.62 and 7,467 is: 10,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.63 : 18,981.62 = 7,467 : x
  2. Step 2: Convert to fraction form
    13,754.63/18,981.62 = 7,467/x
  3. Step 3: Cross multiply
    13,754.63x = 18,981.62 × 7,467
  4. Step 4: Simplify right side
    13,754.63x = 141,735,719.21
  5. Step 5: Solve for x
    x = 141,735,719.21/13,754.63
  6. Step 6: Final answer
    x = 10,304.59

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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.