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Finding the Fourth Proportional to 27,538.50, 38,006.37 and 16,360.50

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Solution

The fourth proportional to 27,538.50, 38,006.37 and 16,360.50 is: 22,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.50 : 38,006.37 = 16,360.50 : x
  2. Step 2: Convert to fraction form
    27,538.50/38,006.37 = 16,360.50/x
  3. Step 3: Cross multiply
    27,538.50x = 38,006.37 × 16,360.50
  4. Step 4: Simplify right side
    27,538.50x = 621,803,216.39
  5. Step 5: Solve for x
    x = 621,803,216.39/27,538.50
  6. Step 6: Final answer
    x = 22,579.41

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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.