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Finding the Fourth Proportional to 14,235.24, 19,644.51 and 7,861.83

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Solution

The fourth proportional to 14,235.24, 19,644.51 and 7,861.83 is: 10,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.24 : 19,644.51 = 7,861.83 : x
  2. Step 2: Convert to fraction form
    14,235.24/19,644.51 = 7,861.83/x
  3. Step 3: Cross multiply
    14,235.24x = 19,644.51 × 7,861.83
  4. Step 4: Simplify right side
    14,235.24x = 154,441,798.05
  5. Step 5: Solve for x
    x = 154,441,798.05/14,235.24
  6. Step 6: Final answer
    x = 10,849.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.