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Finding the Fourth Proportional to 18,135.85, 27,206.52 and 6,446.29

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Solution

The fourth proportional to 18,135.85, 27,206.52 and 6,446.29 is: 9,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135.85 : 27,206.52 = 6,446.29 : x
  2. Step 2: Convert to fraction form
    18,135.85/27,206.52 = 6,446.29/x
  3. Step 3: Cross multiply
    18,135.85x = 27,206.52 × 6,446.29
  4. Step 4: Simplify right side
    18,135.85x = 175,381,117.81
  5. Step 5: Solve for x
    x = 175,381,117.81/18,135.85
  6. Step 6: Final answer
    x = 9,670.41

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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.