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Finding the Fourth Proportional to 19,182.96, 26,472.96 and 10,800

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Solution

The fourth proportional to 19,182.96, 26,472.96 and 10,800 is: 14,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,182.96 : 26,472.96 = 10,800 : x
  2. Step 2: Convert to fraction form
    19,182.96/26,472.96 = 10,800/x
  3. Step 3: Cross multiply
    19,182.96x = 26,472.96 × 10,800
  4. Step 4: Simplify right side
    19,182.96x = 285,907,968
  5. Step 5: Solve for x
    x = 285,907,968/19,182.96
  6. Step 6: Final answer
    x = 14,904.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.