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Finding the Fourth Proportional to 12,243.76, 18,376.48 and 6,702.16

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Solution

The fourth proportional to 12,243.76, 18,376.48 and 6,702.16 is: 10,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.76 : 18,376.48 = 6,702.16 : x
  2. Step 2: Convert to fraction form
    12,243.76/18,376.48 = 6,702.16/x
  3. Step 3: Cross multiply
    12,243.76x = 18,376.48 × 6,702.16
  4. Step 4: Simplify right side
    12,243.76x = 123,162,109.20
  5. Step 5: Solve for x
    x = 123,162,109.20/12,243.76
  6. Step 6: Final answer
    x = 10,059.17

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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.