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Finding the Fourth Proportional to 14,205.38, 21,317.79 and 7,284.74

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Solution

The fourth proportional to 14,205.38, 21,317.79 and 7,284.74 is: 10,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.38 : 21,317.79 = 7,284.74 : x
  2. Step 2: Convert to fraction form
    14,205.38/21,317.79 = 7,284.74/x
  3. Step 3: Cross multiply
    14,205.38x = 21,317.79 × 7,284.74
  4. Step 4: Simplify right side
    14,205.38x = 155,294,557.52
  5. Step 5: Solve for x
    x = 155,294,557.52/14,205.38
  6. Step 6: Final answer
    x = 10,932.09

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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.