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Finding the Fourth Proportional to 13,141.04, 18,133.40 and 7,834.80

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Solution

The fourth proportional to 13,141.04, 18,133.40 and 7,834.80 is: 10,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.04 : 18,133.40 = 7,834.80 : x
  2. Step 2: Convert to fraction form
    13,141.04/18,133.40 = 7,834.80/x
  3. Step 3: Cross multiply
    13,141.04x = 18,133.40 × 7,834.80
  4. Step 4: Simplify right side
    13,141.04x = 142,071,562.32
  5. Step 5: Solve for x
    x = 142,071,562.32/13,141.04
  6. Step 6: Final answer
    x = 10,811.29

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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.