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Finding the Fourth Proportional to 23,590.96, 32,555.08 and 12,980.40

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Solution

The fourth proportional to 23,590.96, 32,555.08 and 12,980.40 is: 17,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590.96 : 32,555.08 = 12,980.40 : x
  2. Step 2: Convert to fraction form
    23,590.96/32,555.08 = 12,980.40/x
  3. Step 3: Cross multiply
    23,590.96x = 32,555.08 × 12,980.40
  4. Step 4: Simplify right side
    23,590.96x = 422,577,960.43
  5. Step 5: Solve for x
    x = 422,577,960.43/23,590.96
  6. Step 6: Final answer
    x = 17,912.71

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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.