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Finding the Fourth Proportional to 26,982.84, 40,480.02 and 9,453.72

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Solution

The fourth proportional to 26,982.84, 40,480.02 and 9,453.72 is: 14,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982.84 : 40,480.02 = 9,453.72 : x
  2. Step 2: Convert to fraction form
    26,982.84/40,480.02 = 9,453.72/x
  3. Step 3: Cross multiply
    26,982.84x = 40,480.02 × 9,453.72
  4. Step 4: Simplify right side
    26,982.84x = 382,686,774.67
  5. Step 5: Solve for x
    x = 382,686,774.67/26,982.84
  6. Step 6: Final answer
    x = 14,182.60

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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.