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Finding the Fourth Proportional to 27,729, 38,266.29 and 15,153.75

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Solution

The fourth proportional to 27,729, 38,266.29 and 15,153.75 is: 20,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729 : 38,266.29 = 15,153.75 : x
  2. Step 2: Convert to fraction form
    27,729/38,266.29 = 15,153.75/x
  3. Step 3: Cross multiply
    27,729x = 38,266.29 × 15,153.75
  4. Step 4: Simplify right side
    27,729x = 579,877,792.09
  5. Step 5: Solve for x
    x = 579,877,792.09/27,729
  6. Step 6: Final answer
    x = 20,912.32

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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.