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Finding the Fourth Proportional to 12,084.92, 18,125.21 and 7,689.32

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Solution

The fourth proportional to 12,084.92, 18,125.21 and 7,689.32 is: 11,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.92 : 18,125.21 = 7,689.32 : x
  2. Step 2: Convert to fraction form
    12,084.92/18,125.21 = 7,689.32/x
  3. Step 3: Cross multiply
    12,084.92x = 18,125.21 × 7,689.32
  4. Step 4: Simplify right side
    12,084.92x = 139,370,468.35
  5. Step 5: Solve for x
    x = 139,370,468.35/12,084.92
  6. Step 6: Final answer
    x = 11,532.60

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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.