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Finding the Fourth Proportional to 14,234.13, 21,364.32 and 7,219.07

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Solution

The fourth proportional to 14,234.13, 21,364.32 and 7,219.07 is: 10,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.13 : 21,364.32 = 7,219.07 : x
  2. Step 2: Convert to fraction form
    14,234.13/21,364.32 = 7,219.07/x
  3. Step 3: Cross multiply
    14,234.13x = 21,364.32 × 7,219.07
  4. Step 4: Simplify right side
    14,234.13x = 154,230,414.76
  5. Step 5: Solve for x
    x = 154,230,414.76/14,234.13
  6. Step 6: Final answer
    x = 10,835.25

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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.