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Finding the Fourth Proportional to 14,238.96, 19,649.04 and 8,270.16

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Solution

The fourth proportional to 14,238.96, 19,649.04 and 8,270.16 is: 11,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.96 : 19,649.04 = 8,270.16 : x
  2. Step 2: Convert to fraction form
    14,238.96/19,649.04 = 8,270.16/x
  3. Step 3: Cross multiply
    14,238.96x = 19,649.04 × 8,270.16
  4. Step 4: Simplify right side
    14,238.96x = 162,500,704.65
  5. Step 5: Solve for x
    x = 162,500,704.65/14,238.96
  6. Step 6: Final answer
    x = 11,412.40

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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.