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Finding the Fourth Proportional to 14,369.56, 19,829.78 and 8,083

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Solution

The fourth proportional to 14,369.56, 19,829.78 and 8,083 is: 11,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.56 : 19,829.78 = 8,083 : x
  2. Step 2: Convert to fraction form
    14,369.56/19,829.78 = 8,083/x
  3. Step 3: Cross multiply
    14,369.56x = 19,829.78 × 8,083
  4. Step 4: Simplify right side
    14,369.56x = 160,284,111.74
  5. Step 5: Solve for x
    x = 160,284,111.74/14,369.56
  6. Step 6: Final answer
    x = 11,154.42

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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.