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Finding the Fourth Proportional to 14,116.69, 19,480.92 and 7,829.05

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Solution

The fourth proportional to 14,116.69, 19,480.92 and 7,829.05 is: 10,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.69 : 19,480.92 = 7,829.05 : x
  2. Step 2: Convert to fraction form
    14,116.69/19,480.92 = 7,829.05/x
  3. Step 3: Cross multiply
    14,116.69x = 19,480.92 × 7,829.05
  4. Step 4: Simplify right side
    14,116.69x = 152,517,096.73
  5. Step 5: Solve for x
    x = 152,517,096.73/14,116.69
  6. Step 6: Final answer
    x = 10,804.03

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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.