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Finding the Fourth Proportional to 14,114.73, 21,180.29 and 6,323.54

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Solution

The fourth proportional to 14,114.73, 21,180.29 and 6,323.54 is: 9,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.73 : 21,180.29 = 6,323.54 : x
  2. Step 2: Convert to fraction form
    14,114.73/21,180.29 = 6,323.54/x
  3. Step 3: Cross multiply
    14,114.73x = 21,180.29 × 6,323.54
  4. Step 4: Simplify right side
    14,114.73x = 133,934,428.22
  5. Step 5: Solve for x
    x = 133,934,428.22/14,114.73
  6. Step 6: Final answer
    x = 9,488.98

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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.