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Finding the Fourth Proportional to 21,712.12, 29,960.82 and 12,283

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Solution

The fourth proportional to 21,712.12, 29,960.82 and 12,283 is: 16,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712.12 : 29,960.82 = 12,283 : x
  2. Step 2: Convert to fraction form
    21,712.12/29,960.82 = 12,283/x
  3. Step 3: Cross multiply
    21,712.12x = 29,960.82 × 12,283
  4. Step 4: Simplify right side
    21,712.12x = 368,008,752.06
  5. Step 5: Solve for x
    x = 368,008,752.06/21,712.12
  6. Step 6: Final answer
    x = 16,949.46

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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.