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Finding the Fourth Proportional to 27,427.72, 41,143.50 and 13,573

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Solution

The fourth proportional to 27,427.72, 41,143.50 and 13,573 is: 20,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427.72 : 41,143.50 = 13,573 : x
  2. Step 2: Convert to fraction form
    27,427.72/41,143.50 = 13,573/x
  3. Step 3: Cross multiply
    27,427.72x = 41,143.50 × 13,573
  4. Step 4: Simplify right side
    27,427.72x = 558,440,725.50
  5. Step 5: Solve for x
    x = 558,440,725.50/27,427.72
  6. Step 6: Final answer
    x = 20,360.45

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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.