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Finding the Fourth Proportional to 21,531.64, 29,713.60 and 11,971.20

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Solution

The fourth proportional to 21,531.64, 29,713.60 and 11,971.20 is: 16,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.64 : 29,713.60 = 11,971.20 : x
  2. Step 2: Convert to fraction form
    21,531.64/29,713.60 = 11,971.20/x
  3. Step 3: Cross multiply
    21,531.64x = 29,713.60 × 11,971.20
  4. Step 4: Simplify right side
    21,531.64x = 355,707,448.32
  5. Step 5: Solve for x
    x = 355,707,448.32/21,531.64
  6. Step 6: Final answer
    x = 16,520.22

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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.