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Finding the Fourth Proportional to 14,006.72, 21,013.32 and 6,216.14

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Solution

The fourth proportional to 14,006.72, 21,013.32 and 6,216.14 is: 9,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.72 : 21,013.32 = 6,216.14 : x
  2. Step 2: Convert to fraction form
    14,006.72/21,013.32 = 6,216.14/x
  3. Step 3: Cross multiply
    14,006.72x = 21,013.32 × 6,216.14
  4. Step 4: Simplify right side
    14,006.72x = 130,621,738.98
  5. Step 5: Solve for x
    x = 130,621,738.98/14,006.72
  6. Step 6: Final answer
    x = 9,325.65

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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.