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Finding the Fourth Proportional to 27,902.95, 38,506.49 and 15,156.38

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Solution

The fourth proportional to 27,902.95, 38,506.49 and 15,156.38 is: 20,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.95 : 38,506.49 = 15,156.38 : x
  2. Step 2: Convert to fraction form
    27,902.95/38,506.49 = 15,156.38/x
  3. Step 3: Cross multiply
    27,902.95x = 38,506.49 × 15,156.38
  4. Step 4: Simplify right side
    27,902.95x = 583,618,994.91
  5. Step 5: Solve for x
    x = 583,618,994.91/27,902.95
  6. Step 6: Final answer
    x = 20,916.03

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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.