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Finding the Fourth Proportional to 23,871.64, 32,930.51 and 16,215.31

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Solution

The fourth proportional to 23,871.64, 32,930.51 and 16,215.31 is: 22,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.64 : 32,930.51 = 16,215.31 : x
  2. Step 2: Convert to fraction form
    23,871.64/32,930.51 = 16,215.31/x
  3. Step 3: Cross multiply
    23,871.64x = 32,930.51 × 16,215.31
  4. Step 4: Simplify right side
    23,871.64x = 533,978,540.21
  5. Step 5: Solve for x
    x = 533,978,540.21/23,871.64
  6. Step 6: Final answer
    x = 22,368.74

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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.