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Finding the Fourth Proportional to 29,546.40, 40,771.04 and 18,214.08

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Solution

The fourth proportional to 29,546.40, 40,771.04 and 18,214.08 is: 25,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.40 : 40,771.04 = 18,214.08 : x
  2. Step 2: Convert to fraction form
    29,546.40/40,771.04 = 18,214.08/x
  3. Step 3: Cross multiply
    29,546.40x = 40,771.04 × 18,214.08
  4. Step 4: Simplify right side
    29,546.40x = 742,606,984.24
  5. Step 5: Solve for x
    x = 742,606,984.24/29,546.40
  6. Step 6: Final answer
    x = 25,133.59

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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.