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Finding the Fourth Proportional to 18,442.34, 27,680.03 and 9,564.03

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Solution

The fourth proportional to 18,442.34, 27,680.03 and 9,564.03 is: 14,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442.34 : 27,680.03 = 9,564.03 : x
  2. Step 2: Convert to fraction form
    18,442.34/27,680.03 = 9,564.03/x
  3. Step 3: Cross multiply
    18,442.34x = 27,680.03 × 9,564.03
  4. Step 4: Simplify right side
    18,442.34x = 264,732,637.32
  5. Step 5: Solve for x
    x = 264,732,637.32/18,442.34
  6. Step 6: Final answer
    x = 14,354.61

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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.