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Finding the Fourth Proportional to 13,496.18, 18,624.75 and 7,446.28

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Solution

The fourth proportional to 13,496.18, 18,624.75 and 7,446.28 is: 10,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.18 : 18,624.75 = 7,446.28 : x
  2. Step 2: Convert to fraction form
    13,496.18/18,624.75 = 7,446.28/x
  3. Step 3: Cross multiply
    13,496.18x = 18,624.75 × 7,446.28
  4. Step 4: Simplify right side
    13,496.18x = 138,685,103.43
  5. Step 5: Solve for x
    x = 138,685,103.43/13,496.18
  6. Step 6: Final answer
    x = 10,275.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.