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Finding the Fourth Proportional to 18,536.50, 25,581.59 and 10,153

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Solution

The fourth proportional to 18,536.50, 25,581.59 and 10,153 is: 14,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.50 : 25,581.59 = 10,153 : x
  2. Step 2: Convert to fraction form
    18,536.50/25,581.59 = 10,153/x
  3. Step 3: Cross multiply
    18,536.50x = 25,581.59 × 10,153
  4. Step 4: Simplify right side
    18,536.50x = 259,729,883.27
  5. Step 5: Solve for x
    x = 259,729,883.27/18,536.50
  6. Step 6: Final answer
    x = 14,011.81

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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.