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Finding the Fourth Proportional to 26,678.83, 40,020.27 and 7,957.40

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Solution

The fourth proportional to 26,678.83, 40,020.27 and 7,957.40 is: 11,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678.83 : 40,020.27 = 7,957.40 : x
  2. Step 2: Convert to fraction form
    26,678.83/40,020.27 = 7,957.40/x
  3. Step 3: Cross multiply
    26,678.83x = 40,020.27 × 7,957.40
  4. Step 4: Simplify right side
    26,678.83x = 318,457,296.50
  5. Step 5: Solve for x
    x = 318,457,296.50/26,678.83
  6. Step 6: Final answer
    x = 11,936.70

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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.