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Finding the Fourth Proportional to 14,584, 20,127 and 8,298.40

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Solution

The fourth proportional to 14,584, 20,127 and 8,298.40 is: 11,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584 : 20,127 = 8,298.40 : x
  2. Step 2: Convert to fraction form
    14,584/20,127 = 8,298.40/x
  3. Step 3: Cross multiply
    14,584x = 20,127 × 8,298.40
  4. Step 4: Simplify right side
    14,584x = 167,021,896.80
  5. Step 5: Solve for x
    x = 167,021,896.80/14,584
  6. Step 6: Final answer
    x = 11,452.41

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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.