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Finding the Fourth Proportional to 21,478.14, 29,640.06 and 12,046.50

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Solution

The fourth proportional to 21,478.14, 29,640.06 and 12,046.50 is: 16,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.14 : 29,640.06 = 12,046.50 : x
  2. Step 2: Convert to fraction form
    21,478.14/29,640.06 = 12,046.50/x
  3. Step 3: Cross multiply
    21,478.14x = 29,640.06 × 12,046.50
  4. Step 4: Simplify right side
    21,478.14x = 357,058,982.79
  5. Step 5: Solve for x
    x = 357,058,982.79/21,478.14
  6. Step 6: Final answer
    x = 16,624.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.