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Finding the Fourth Proportional to 27,028.54, 40,538.94 and 9,496

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Solution

The fourth proportional to 27,028.54, 40,538.94 and 9,496 is: 14,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,028.54 : 40,538.94 = 9,496 : x
  2. Step 2: Convert to fraction form
    27,028.54/40,538.94 = 9,496/x
  3. Step 3: Cross multiply
    27,028.54x = 40,538.94 × 9,496
  4. Step 4: Simplify right side
    27,028.54x = 384,957,774.24
  5. Step 5: Solve for x
    x = 384,957,774.24/27,028.54
  6. Step 6: Final answer
    x = 14,242.64

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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.