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Finding the Fourth Proportional to 19,825.46, 27,364.28 and 12,267.39

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Solution

The fourth proportional to 19,825.46, 27,364.28 and 12,267.39 is: 16,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.46 : 27,364.28 = 12,267.39 : x
  2. Step 2: Convert to fraction form
    19,825.46/27,364.28 = 12,267.39/x
  3. Step 3: Cross multiply
    19,825.46x = 27,364.28 × 12,267.39
  4. Step 4: Simplify right side
    19,825.46x = 335,688,294.83
  5. Step 5: Solve for x
    x = 335,688,294.83/19,825.46
  6. Step 6: Final answer
    x = 16,932.18

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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.