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Finding the Fourth Proportional to 27,846.36, 38,428.50 and 15,271.08

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Solution

The fourth proportional to 27,846.36, 38,428.50 and 15,271.08 is: 21,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.36 : 38,428.50 = 15,271.08 : x
  2. Step 2: Convert to fraction form
    27,846.36/38,428.50 = 15,271.08/x
  3. Step 3: Cross multiply
    27,846.36x = 38,428.50 × 15,271.08
  4. Step 4: Simplify right side
    27,846.36x = 586,844,697.78
  5. Step 5: Solve for x
    x = 586,844,697.78/27,846.36
  6. Step 6: Final answer
    x = 21,074.38

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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.