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Finding the Fourth Proportional to 14,362.96, 19,816.12 and 11,705.80

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Solution

The fourth proportional to 14,362.96, 19,816.12 and 11,705.80 is: 16,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.96 : 19,816.12 = 11,705.80 : x
  2. Step 2: Convert to fraction form
    14,362.96/19,816.12 = 11,705.80/x
  3. Step 3: Cross multiply
    14,362.96x = 19,816.12 × 11,705.80
  4. Step 4: Simplify right side
    14,362.96x = 231,963,537.50
  5. Step 5: Solve for x
    x = 231,963,537.50/14,362.96
  6. Step 6: Final answer
    x = 16,150.12

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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.