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Finding the Fourth Proportional to 13,044.58, 19,554 and 8,351.23

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Solution

The fourth proportional to 13,044.58, 19,554 and 8,351.23 is: 12,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044.58 : 19,554 = 8,351.23 : x
  2. Step 2: Convert to fraction form
    13,044.58/19,554 = 8,351.23/x
  3. Step 3: Cross multiply
    13,044.58x = 19,554 × 8,351.23
  4. Step 4: Simplify right side
    13,044.58x = 163,299,951.42
  5. Step 5: Solve for x
    x = 163,299,951.42/13,044.58
  6. Step 6: Final answer
    x = 12,518.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.