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Finding the Fourth Proportional to 26,898.57, 40,347.48 and 12,097

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Solution

The fourth proportional to 26,898.57, 40,347.48 and 12,097 is: 18,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,898.57 : 40,347.48 = 12,097 : x
  2. Step 2: Convert to fraction form
    26,898.57/40,347.48 = 12,097/x
  3. Step 3: Cross multiply
    26,898.57x = 40,347.48 × 12,097
  4. Step 4: Simplify right side
    26,898.57x = 488,083,465.56
  5. Step 5: Solve for x
    x = 488,083,465.56/26,898.57
  6. Step 6: Final answer
    x = 18,145.33

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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.