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Finding the Fourth Proportional to 35,834.42, 53,761.36 and 12,462.68

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Solution

The fourth proportional to 35,834.42, 53,761.36 and 12,462.68 is: 18,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.42 : 53,761.36 = 12,462.68 : x
  2. Step 2: Convert to fraction form
    35,834.42/53,761.36 = 12,462.68/x
  3. Step 3: Cross multiply
    35,834.42x = 53,761.36 × 12,462.68
  4. Step 4: Simplify right side
    35,834.42x = 670,010,626.04
  5. Step 5: Solve for x
    x = 670,010,626.04/35,834.42
  6. Step 6: Final answer
    x = 18,697.40

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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.