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Finding the Fourth Proportional to 23,613.56, 35,411.36 and 7,813.86

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Solution

The fourth proportional to 23,613.56, 35,411.36 and 7,813.86 is: 11,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.56 : 35,411.36 = 7,813.86 : x
  2. Step 2: Convert to fraction form
    23,613.56/35,411.36 = 7,813.86/x
  3. Step 3: Cross multiply
    23,613.56x = 35,411.36 × 7,813.86
  4. Step 4: Simplify right side
    23,613.56x = 276,699,409.45
  5. Step 5: Solve for x
    x = 276,699,409.45/23,613.56
  6. Step 6: Final answer
    x = 11,717.82

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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.