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Finding the Fourth Proportional to 23,294.96, 32,147.09 and 12,684.64

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Solution

The fourth proportional to 23,294.96, 32,147.09 and 12,684.64 is: 17,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.96 : 32,147.09 = 12,684.64 : x
  2. Step 2: Convert to fraction form
    23,294.96/32,147.09 = 12,684.64/x
  3. Step 3: Cross multiply
    23,294.96x = 32,147.09 × 12,684.64
  4. Step 4: Simplify right side
    23,294.96x = 407,774,263.70
  5. Step 5: Solve for x
    x = 407,774,263.70/23,294.96
  6. Step 6: Final answer
    x = 17,504.83

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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.