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Finding the Fourth Proportional to 22,554.84, 31,119.84 and 14,584.44

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Solution

The fourth proportional to 22,554.84, 31,119.84 and 14,584.44 is: 20,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,554.84 : 31,119.84 = 14,584.44 : x
  2. Step 2: Convert to fraction form
    22,554.84/31,119.84 = 14,584.44/x
  3. Step 3: Cross multiply
    22,554.84x = 31,119.84 × 14,584.44
  4. Step 4: Simplify right side
    22,554.84x = 453,865,439.29
  5. Step 5: Solve for x
    x = 453,865,439.29/22,554.84
  6. Step 6: Final answer
    x = 20,122.75

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1.5x scale

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.