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Finding the Fourth Proportional to 26,994, 40,489.68 and 9,462.48

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Solution

The fourth proportional to 26,994, 40,489.68 and 9,462.48 is: 14,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,994 : 40,489.68 = 9,462.48 : x
  2. Step 2: Convert to fraction form
    26,994/40,489.68 = 9,462.48/x
  3. Step 3: Cross multiply
    26,994x = 40,489.68 × 9,462.48
  4. Step 4: Simplify right side
    26,994x = 383,132,787.21
  5. Step 5: Solve for x
    x = 383,132,787.21/26,994
  6. Step 6: Final answer
    x = 14,193.26

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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.