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Finding the Fourth Proportional to 14,407.65, 19,896.57 and 11,229.75

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Solution

The fourth proportional to 14,407.65, 19,896.57 and 11,229.75 is: 15,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.65 : 19,896.57 = 11,229.75 : x
  2. Step 2: Convert to fraction form
    14,407.65/19,896.57 = 11,229.75/x
  3. Step 3: Cross multiply
    14,407.65x = 19,896.57 × 11,229.75
  4. Step 4: Simplify right side
    14,407.65x = 223,433,506.96
  5. Step 5: Solve for x
    x = 223,433,506.96/14,407.65
  6. Step 6: Final answer
    x = 15,507.98

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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.