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Finding the Fourth Proportional to 14,305.98, 21,463.63 and 6,911.29

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Solution

The fourth proportional to 14,305.98, 21,463.63 and 6,911.29 is: 10,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.98 : 21,463.63 = 6,911.29 : x
  2. Step 2: Convert to fraction form
    14,305.98/21,463.63 = 6,911.29/x
  3. Step 3: Cross multiply
    14,305.98x = 21,463.63 × 6,911.29
  4. Step 4: Simplify right side
    14,305.98x = 148,341,371.38
  5. Step 5: Solve for x
    x = 148,341,371.38/14,305.98
  6. Step 6: Final answer
    x = 10,369.19

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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.