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Finding the Fourth Proportional to 14,495.83, 21,751.94 and 6,174.97

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Solution

The fourth proportional to 14,495.83, 21,751.94 and 6,174.97 is: 9,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.83 : 21,751.94 = 6,174.97 : x
  2. Step 2: Convert to fraction form
    14,495.83/21,751.94 = 6,174.97/x
  3. Step 3: Cross multiply
    14,495.83x = 21,751.94 × 6,174.97
  4. Step 4: Simplify right side
    14,495.83x = 134,317,538.00
  5. Step 5: Solve for x
    x = 134,317,538.00/14,495.83
  6. Step 6: Final answer
    x = 9,265.94

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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.