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Finding the Fourth Proportional to 14,006.70, 21,010.65 and 6,517.29

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Solution

The fourth proportional to 14,006.70, 21,010.65 and 6,517.29 is: 9,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.70 : 21,010.65 = 6,517.29 : x
  2. Step 2: Convert to fraction form
    14,006.70/21,010.65 = 6,517.29/x
  3. Step 3: Cross multiply
    14,006.70x = 21,010.65 × 6,517.29
  4. Step 4: Simplify right side
    14,006.70x = 136,932,499.14
  5. Step 5: Solve for x
    x = 136,932,499.14/14,006.70
  6. Step 6: Final answer
    x = 9,776.21

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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.