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Finding the Fourth Proportional to 14,209.32, 21,294.54 and 7,269.24

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Solution

The fourth proportional to 14,209.32, 21,294.54 and 7,269.24 is: 10,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.32 : 21,294.54 = 7,269.24 : x
  2. Step 2: Convert to fraction form
    14,209.32/21,294.54 = 7,269.24/x
  3. Step 3: Cross multiply
    14,209.32x = 21,294.54 × 7,269.24
  4. Step 4: Simplify right side
    14,209.32x = 154,795,121.95
  5. Step 5: Solve for x
    x = 154,795,121.95/14,209.32
  6. Step 6: Final answer
    x = 10,893.91

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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.