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Finding the Fourth Proportional to 13,128.65, 18,114.32 and 8,419.31

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Solution

The fourth proportional to 13,128.65, 18,114.32 and 8,419.31 is: 11,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.65 : 18,114.32 = 8,419.31 : x
  2. Step 2: Convert to fraction form
    13,128.65/18,114.32 = 8,419.31/x
  3. Step 3: Cross multiply
    13,128.65x = 18,114.32 × 8,419.31
  4. Step 4: Simplify right side
    13,128.65x = 152,509,942.85
  5. Step 5: Solve for x
    x = 152,509,942.85/13,128.65
  6. Step 6: Final answer
    x = 11,616.58

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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.