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Finding the Fourth Proportional to 14,333.72, 21,508.88 and 6,013

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Solution

The fourth proportional to 14,333.72, 21,508.88 and 6,013 is: 9,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.72 : 21,508.88 = 6,013 : x
  2. Step 2: Convert to fraction form
    14,333.72/21,508.88 = 6,013/x
  3. Step 3: Cross multiply
    14,333.72x = 21,508.88 × 6,013
  4. Step 4: Simplify right side
    14,333.72x = 129,332,895.44
  5. Step 5: Solve for x
    x = 129,332,895.44/14,333.72
  6. Step 6: Final answer
    x = 9,022.98

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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.