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Finding the Fourth Proportional to 18,342.62, 27,492.64 and 7,809.32

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Solution

The fourth proportional to 18,342.62, 27,492.64 and 7,809.32 is: 11,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.62 : 27,492.64 = 7,809.32 : x
  2. Step 2: Convert to fraction form
    18,342.62/27,492.64 = 7,809.32/x
  3. Step 3: Cross multiply
    18,342.62x = 27,492.64 × 7,809.32
  4. Step 4: Simplify right side
    18,342.62x = 214,698,823.40
  5. Step 5: Solve for x
    x = 214,698,823.40/18,342.62
  6. Step 6: Final answer
    x = 11,704.92

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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.