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Finding the Fourth Proportional to 27,522.95, 37,982.56 and 15,586.03

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Solution

The fourth proportional to 27,522.95, 37,982.56 and 15,586.03 is: 21,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522.95 : 37,982.56 = 15,586.03 : x
  2. Step 2: Convert to fraction form
    27,522.95/37,982.56 = 15,586.03/x
  3. Step 3: Cross multiply
    27,522.95x = 37,982.56 × 15,586.03
  4. Step 4: Simplify right side
    27,522.95x = 591,997,294.38
  5. Step 5: Solve for x
    x = 591,997,294.38/27,522.95
  6. Step 6: Final answer
    x = 21,509.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.