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Finding the Fourth Proportional to 14,638.73, 21,955.81 and 4,775.82

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Solution

The fourth proportional to 14,638.73, 21,955.81 and 4,775.82 is: 7,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.73 : 21,955.81 = 4,775.82 : x
  2. Step 2: Convert to fraction form
    14,638.73/21,955.81 = 4,775.82/x
  3. Step 3: Cross multiply
    14,638.73x = 21,955.81 × 4,775.82
  4. Step 4: Simplify right side
    14,638.73x = 104,856,996.51
  5. Step 5: Solve for x
    x = 104,856,996.51/14,638.73
  6. Step 6: Final answer
    x = 7,162.98

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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.