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Finding the Fourth Proportional to 27,000.20, 40,512.45 and 9,482.60

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Solution

The fourth proportional to 27,000.20, 40,512.45 and 9,482.60 is: 14,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000.20 : 40,512.45 = 9,482.60 : x
  2. Step 2: Convert to fraction form
    27,000.20/40,512.45 = 9,482.60/x
  3. Step 3: Cross multiply
    27,000.20x = 40,512.45 × 9,482.60
  4. Step 4: Simplify right side
    27,000.20x = 384,163,358.37
  5. Step 5: Solve for x
    x = 384,163,358.37/27,000.20
  6. Step 6: Final answer
    x = 14,228.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.