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Finding the Fourth Proportional to 27,638.84, 38,142.06 and 15,064.12

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Solution

The fourth proportional to 27,638.84, 38,142.06 and 15,064.12 is: 20,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.84 : 38,142.06 = 15,064.12 : x
  2. Step 2: Convert to fraction form
    27,638.84/38,142.06 = 15,064.12/x
  3. Step 3: Cross multiply
    27,638.84x = 38,142.06 × 15,064.12
  4. Step 4: Simplify right side
    27,638.84x = 574,576,568.89
  5. Step 5: Solve for x
    x = 574,576,568.89/27,638.84
  6. Step 6: Final answer
    x = 20,788.74

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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.