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Finding the Fourth Proportional to 18,214.02, 27,316.08 and 7,823.34

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Solution

The fourth proportional to 18,214.02, 27,316.08 and 7,823.34 is: 11,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.02 : 27,316.08 = 7,823.34 : x
  2. Step 2: Convert to fraction form
    18,214.02/27,316.08 = 7,823.34/x
  3. Step 3: Cross multiply
    18,214.02x = 27,316.08 × 7,823.34
  4. Step 4: Simplify right side
    18,214.02x = 213,702,981.31
  5. Step 5: Solve for x
    x = 213,702,981.31/18,214.02
  6. Step 6: Final answer
    x = 11,732.88

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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.