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Finding the Fourth Proportional to 18,538.40, 27,774.72 and 15,400

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Solution

The fourth proportional to 18,538.40, 27,774.72 and 15,400 is: 23,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.40 : 27,774.72 = 15,400 : x
  2. Step 2: Convert to fraction form
    18,538.40/27,774.72 = 15,400/x
  3. Step 3: Cross multiply
    18,538.40x = 27,774.72 × 15,400
  4. Step 4: Simplify right side
    18,538.40x = 427,730,688
  5. Step 5: Solve for x
    x = 427,730,688/18,538.40
  6. Step 6: Final answer
    x = 23,072.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.