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Finding the Fourth Proportional to 13,142.04, 18,141.42 and 10,618.04

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Solution

The fourth proportional to 13,142.04, 18,141.42 and 10,618.04 is: 14,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.04 : 18,141.42 = 10,618.04 : x
  2. Step 2: Convert to fraction form
    13,142.04/18,141.42 = 10,618.04/x
  3. Step 3: Cross multiply
    13,142.04x = 18,141.42 × 10,618.04
  4. Step 4: Simplify right side
    13,142.04x = 192,626,323.22
  5. Step 5: Solve for x
    x = 192,626,323.22/13,142.04
  6. Step 6: Final answer
    x = 14,657.26

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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.