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Finding the Fourth Proportional to 23,580.96, 32,542.59 and 12,971.40

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Solution

The fourth proportional to 23,580.96, 32,542.59 and 12,971.40 is: 17,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.96 : 32,542.59 = 12,971.40 : x
  2. Step 2: Convert to fraction form
    23,580.96/32,542.59 = 12,971.40/x
  3. Step 3: Cross multiply
    23,580.96x = 32,542.59 × 12,971.40
  4. Step 4: Simplify right side
    23,580.96x = 422,122,951.93
  5. Step 5: Solve for x
    x = 422,122,951.93/23,580.96
  6. Step 6: Final answer
    x = 17,901.01

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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.