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Finding the Fourth Proportional to 14,584, 20,125.92 and 7,960

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Solution

The fourth proportional to 14,584, 20,125.92 and 7,960 is: 10,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584 : 20,125.92 = 7,960 : x
  2. Step 2: Convert to fraction form
    14,584/20,125.92 = 7,960/x
  3. Step 3: Cross multiply
    14,584x = 20,125.92 × 7,960
  4. Step 4: Simplify right side
    14,584x = 160,202,323.20
  5. Step 5: Solve for x
    x = 160,202,323.20/14,584
  6. Step 6: Final answer
    x = 10,984.80

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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.