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Finding the Fourth Proportional to 13,145.86, 18,141.75 and 7,178.05

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Solution

The fourth proportional to 13,145.86, 18,141.75 and 7,178.05 is: 9,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.86 : 18,141.75 = 7,178.05 : x
  2. Step 2: Convert to fraction form
    13,145.86/18,141.75 = 7,178.05/x
  3. Step 3: Cross multiply
    13,145.86x = 18,141.75 × 7,178.05
  4. Step 4: Simplify right side
    13,145.86x = 130,222,388.59
  5. Step 5: Solve for x
    x = 130,222,388.59/13,145.86
  6. Step 6: Final answer
    x = 9,905.96

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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.