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Finding the Fourth Proportional to 23,435.86, 32,342.45 and 12,826.42

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Solution

The fourth proportional to 23,435.86, 32,342.45 and 12,826.42 is: 17,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.86 : 32,342.45 = 12,826.42 : x
  2. Step 2: Convert to fraction form
    23,435.86/32,342.45 = 12,826.42/x
  3. Step 3: Cross multiply
    23,435.86x = 32,342.45 × 12,826.42
  4. Step 4: Simplify right side
    23,435.86x = 414,837,847.53
  5. Step 5: Solve for x
    x = 414,837,847.53/23,435.86
  6. Step 6: Final answer
    x = 17,700.99

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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.