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Finding the Fourth Proportional to 18,918.50, 26,108.34 and 10,535

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Solution

The fourth proportional to 18,918.50, 26,108.34 and 10,535 is: 14,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,918.50 : 26,108.34 = 10,535 : x
  2. Step 2: Convert to fraction form
    18,918.50/26,108.34 = 10,535/x
  3. Step 3: Cross multiply
    18,918.50x = 26,108.34 × 10,535
  4. Step 4: Simplify right side
    18,918.50x = 275,051,361.90
  5. Step 5: Solve for x
    x = 275,051,361.90/18,918.50
  6. Step 6: Final answer
    x = 14,538.75

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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.