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Finding the Fourth Proportional to 21,972, 30,320.48 and 12,896.12

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Solution

The fourth proportional to 21,972, 30,320.48 and 12,896.12 is: 17,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972 : 30,320.48 = 12,896.12 : x
  2. Step 2: Convert to fraction form
    21,972/30,320.48 = 12,896.12/x
  3. Step 3: Cross multiply
    21,972x = 30,320.48 × 12,896.12
  4. Step 4: Simplify right side
    21,972x = 391,016,332.45
  5. Step 5: Solve for x
    x = 391,016,332.45/21,972
  6. Step 6: Final answer
    x = 17,796.12

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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.