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Finding the Fourth Proportional to 27,409.52, 37,826.84 and 15,468.50

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Solution

The fourth proportional to 27,409.52, 37,826.84 and 15,468.50 is: 21,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.52 : 37,826.84 = 15,468.50 : x
  2. Step 2: Convert to fraction form
    27,409.52/37,826.84 = 15,468.50/x
  3. Step 3: Cross multiply
    27,409.52x = 37,826.84 × 15,468.50
  4. Step 4: Simplify right side
    27,409.52x = 585,124,474.54
  5. Step 5: Solve for x
    x = 585,124,474.54/27,409.52
  6. Step 6: Final answer
    x = 21,347.49

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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.