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Finding the Fourth Proportional to 21,478.44, 29,639.88 and 12,046.80

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Solution

The fourth proportional to 21,478.44, 29,639.88 and 12,046.80 is: 16,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.44 : 29,639.88 = 12,046.80 : x
  2. Step 2: Convert to fraction form
    21,478.44/29,639.88 = 12,046.80/x
  3. Step 3: Cross multiply
    21,478.44x = 29,639.88 × 12,046.80
  4. Step 4: Simplify right side
    21,478.44x = 357,065,640.41
  5. Step 5: Solve for x
    x = 357,065,640.41/21,478.44
  6. Step 6: Final answer
    x = 16,624.38

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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.