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Finding the Fourth Proportional to 21,337.84, 31,944.78 and 12,426

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Solution

The fourth proportional to 21,337.84, 31,944.78 and 12,426 is: 18,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.84 : 31,944.78 = 12,426 : x
  2. Step 2: Convert to fraction form
    21,337.84/31,944.78 = 12,426/x
  3. Step 3: Cross multiply
    21,337.84x = 31,944.78 × 12,426
  4. Step 4: Simplify right side
    21,337.84x = 396,945,836.28
  5. Step 5: Solve for x
    x = 396,945,836.28/21,337.84
  6. Step 6: Final answer
    x = 18,602.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.