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Finding the Fourth Proportional to 19,825.97, 27,364.98 and 12,267.90

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Solution

The fourth proportional to 19,825.97, 27,364.98 and 12,267.90 is: 16,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.97 : 27,364.98 = 12,267.90 : x
  2. Step 2: Convert to fraction form
    19,825.97/27,364.98 = 12,267.90/x
  3. Step 3: Cross multiply
    19,825.97x = 27,364.98 × 12,267.90
  4. Step 4: Simplify right side
    19,825.97x = 335,710,838.14
  5. Step 5: Solve for x
    x = 335,710,838.14/19,825.97
  6. Step 6: Final answer
    x = 16,932.89

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