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Finding the Fourth Proportional to 18,461.40, 27,678.68 and 7,364.76

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Solution

The fourth proportional to 18,461.40, 27,678.68 and 7,364.76 is: 11,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.40 : 27,678.68 = 7,364.76 : x
  2. Step 2: Convert to fraction form
    18,461.40/27,678.68 = 7,364.76/x
  3. Step 3: Cross multiply
    18,461.40x = 27,678.68 × 7,364.76
  4. Step 4: Simplify right side
    18,461.40x = 203,846,835.32
  5. Step 5: Solve for x
    x = 203,846,835.32/18,461.40
  6. Step 6: Final answer
    x = 11,041.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.