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Finding the Fourth Proportional to 26,957.80, 40,435.32 and 10,325.80

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Solution

The fourth proportional to 26,957.80, 40,435.32 and 10,325.80 is: 15,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,957.80 : 40,435.32 = 10,325.80 : x
  2. Step 2: Convert to fraction form
    26,957.80/40,435.32 = 10,325.80/x
  3. Step 3: Cross multiply
    26,957.80x = 40,435.32 × 10,325.80
  4. Step 4: Simplify right side
    26,957.80x = 417,527,027.26
  5. Step 5: Solve for x
    x = 417,527,027.26/26,957.80
  6. Step 6: Final answer
    x = 15,488.17

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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.