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Finding the Fourth Proportional to 14,216.30, 21,329.00 and 6,821.34

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Solution

The fourth proportional to 14,216.30, 21,329.00 and 6,821.34 is: 10,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.30 : 21,329.00 = 6,821.34 : x
  2. Step 2: Convert to fraction form
    14,216.30/21,329.00 = 6,821.34/x
  3. Step 3: Cross multiply
    14,216.30x = 21,329.00 × 6,821.34
  4. Step 4: Simplify right side
    14,216.30x = 145,492,326.75
  5. Step 5: Solve for x
    x = 145,492,326.75/14,216.30
  6. Step 6: Final answer
    x = 10,234.19

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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.