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Finding the Fourth Proportional to 14,131.89, 19,502.09 and 8,829.78

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Solution

The fourth proportional to 14,131.89, 19,502.09 and 8,829.78 is: 12,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.89 : 19,502.09 = 8,829.78 : x
  2. Step 2: Convert to fraction form
    14,131.89/19,502.09 = 8,829.78/x
  3. Step 3: Cross multiply
    14,131.89x = 19,502.09 × 8,829.78
  4. Step 4: Simplify right side
    14,131.89x = 172,199,164.24
  5. Step 5: Solve for x
    x = 172,199,164.24/14,131.89
  6. Step 6: Final answer
    x = 12,185.15

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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.