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Finding the Fourth Proportional to 14,604.16, 21,896.40 and 6,815.20

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Solution

The fourth proportional to 14,604.16, 21,896.40 and 6,815.20 is: 10,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.16 : 21,896.40 = 6,815.20 : x
  2. Step 2: Convert to fraction form
    14,604.16/21,896.40 = 6,815.20/x
  3. Step 3: Cross multiply
    14,604.16x = 21,896.40 × 6,815.20
  4. Step 4: Simplify right side
    14,604.16x = 149,228,345.28
  5. Step 5: Solve for x
    x = 149,228,345.28/14,604.16
  6. Step 6: Final answer
    x = 10,218.21

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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.