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Finding the Fourth Proportional to 22,473, 33,711.24 and 13,113.96

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Solution

The fourth proportional to 22,473, 33,711.24 and 13,113.96 is: 19,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473 : 33,711.24 = 13,113.96 : x
  2. Step 2: Convert to fraction form
    22,473/33,711.24 = 13,113.96/x
  3. Step 3: Cross multiply
    22,473x = 33,711.24 × 13,113.96
  4. Step 4: Simplify right side
    22,473x = 442,087,852.91
  5. Step 5: Solve for x
    x = 442,087,852.91/22,473
  6. Step 6: Final answer
    x = 19,671.96

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Why These Related Problems?

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