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Finding the Fourth Proportional to 13,178.92, 18,184.62 and 7,588.84

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Solution

The fourth proportional to 13,178.92, 18,184.62 and 7,588.84 is: 10,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.92 : 18,184.62 = 7,588.84 : x
  2. Step 2: Convert to fraction form
    13,178.92/18,184.62 = 7,588.84/x
  3. Step 3: Cross multiply
    13,178.92x = 18,184.62 × 7,588.84
  4. Step 4: Simplify right side
    13,178.92x = 138,000,171.64
  5. Step 5: Solve for x
    x = 138,000,171.64/13,178.92
  6. Step 6: Final answer
    x = 10,471.28

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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.