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Finding the Fourth Proportional to 26,901, 40,366.08 and 13,050

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Solution

The fourth proportional to 26,901, 40,366.08 and 13,050 is: 19,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,901 : 40,366.08 = 13,050 : x
  2. Step 2: Convert to fraction form
    26,901/40,366.08 = 13,050/x
  3. Step 3: Cross multiply
    26,901x = 40,366.08 × 13,050
  4. Step 4: Simplify right side
    26,901x = 526,777,344
  5. Step 5: Solve for x
    x = 526,777,344/26,901
  6. Step 6: Final answer
    x = 19,582.07

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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.