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Finding the Fourth Proportional to 23,505.26, 32,437.08 and 12,894.86

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Solution

The fourth proportional to 23,505.26, 32,437.08 and 12,894.86 is: 17,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.26 : 32,437.08 = 12,894.86 : x
  2. Step 2: Convert to fraction form
    23,505.26/32,437.08 = 12,894.86/x
  3. Step 3: Cross multiply
    23,505.26x = 32,437.08 × 12,894.86
  4. Step 4: Simplify right side
    23,505.26x = 418,271,605.41
  5. Step 5: Solve for x
    x = 418,271,605.41/23,505.26
  6. Step 6: Final answer
    x = 17,794.81

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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.