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Finding the Fourth Proportional to 14,447.92, 21,676.76 and 6,127.60

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Solution

The fourth proportional to 14,447.92, 21,676.76 and 6,127.60 is: 9,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.92 : 21,676.76 = 6,127.60 : x
  2. Step 2: Convert to fraction form
    14,447.92/21,676.76 = 6,127.60/x
  3. Step 3: Cross multiply
    14,447.92x = 21,676.76 × 6,127.60
  4. Step 4: Simplify right side
    14,447.92x = 132,826,514.58
  5. Step 5: Solve for x
    x = 132,826,514.58/14,447.92
  6. Step 6: Final answer
    x = 9,193.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.