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Finding the Fourth Proportional to 21,904.84, 30,221.40 and 12,471.40

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Solution

The fourth proportional to 21,904.84, 30,221.40 and 12,471.40 is: 17,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904.84 : 30,221.40 = 12,471.40 : x
  2. Step 2: Convert to fraction form
    21,904.84/30,221.40 = 12,471.40/x
  3. Step 3: Cross multiply
    21,904.84x = 30,221.40 × 12,471.40
  4. Step 4: Simplify right side
    21,904.84x = 376,903,167.96
  5. Step 5: Solve for x
    x = 376,903,167.96/21,904.84
  6. Step 6: Final answer
    x = 17,206.39

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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.