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Finding the Fourth Proportional to 12,444.64, 18,668.98 and 3,680.44

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Solution

The fourth proportional to 12,444.64, 18,668.98 and 3,680.44 is: 5,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.64 : 18,668.98 = 3,680.44 : x
  2. Step 2: Convert to fraction form
    12,444.64/18,668.98 = 3,680.44/x
  3. Step 3: Cross multiply
    12,444.64x = 18,668.98 × 3,680.44
  4. Step 4: Simplify right side
    12,444.64x = 68,710,060.75
  5. Step 5: Solve for x
    x = 68,710,060.75/12,444.64
  6. Step 6: Final answer
    x = 5,521.26

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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.