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Finding the Fourth Proportional to 21,878.64, 30,189.48 and 12,446.16

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Solution

The fourth proportional to 21,878.64, 30,189.48 and 12,446.16 is: 17,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.64 : 30,189.48 = 12,446.16 : x
  2. Step 2: Convert to fraction form
    21,878.64/30,189.48 = 12,446.16/x
  3. Step 3: Cross multiply
    21,878.64x = 30,189.48 × 12,446.16
  4. Step 4: Simplify right side
    21,878.64x = 375,743,098.40
  5. Step 5: Solve for x
    x = 375,743,098.40/21,878.64
  6. Step 6: Final answer
    x = 17,173.97

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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.