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Finding the Fourth Proportional to 14,427.40, 21,628.04 and 5,659.96

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Solution

The fourth proportional to 14,427.40, 21,628.04 and 5,659.96 is: 8,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.40 : 21,628.04 = 5,659.96 : x
  2. Step 2: Convert to fraction form
    14,427.40/21,628.04 = 5,659.96/x
  3. Step 3: Cross multiply
    14,427.40x = 21,628.04 × 5,659.96
  4. Step 4: Simplify right side
    14,427.40x = 122,413,841.28
  5. Step 5: Solve for x
    x = 122,413,841.28/14,427.40
  6. Step 6: Final answer
    x = 8,484.82

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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.