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Finding the Fourth Proportional to 14,454.67, 21,683.73 and 6,133.59

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Solution

The fourth proportional to 14,454.67, 21,683.73 and 6,133.59 is: 9,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.67 : 21,683.73 = 6,133.59 : x
  2. Step 2: Convert to fraction form
    14,454.67/21,683.73 = 6,133.59/x
  3. Step 3: Cross multiply
    14,454.67x = 21,683.73 × 6,133.59
  4. Step 4: Simplify right side
    14,454.67x = 132,999,109.49
  5. Step 5: Solve for x
    x = 132,999,109.49/14,454.67
  6. Step 6: Final answer
    x = 9,201.12

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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.