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Finding the Fourth Proportional to 27,969.75, 41,915.43 and 13,916.45

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Solution

The fourth proportional to 27,969.75, 41,915.43 and 13,916.45 is: 20,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.75 : 41,915.43 = 13,916.45 : x
  2. Step 2: Convert to fraction form
    27,969.75/41,915.43 = 13,916.45/x
  3. Step 3: Cross multiply
    27,969.75x = 41,915.43 × 13,916.45
  4. Step 4: Simplify right side
    27,969.75x = 583,313,985.82
  5. Step 5: Solve for x
    x = 583,313,985.82/27,969.75
  6. Step 6: Final answer
    x = 20,855.17

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Why These Related Problems?

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