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Finding the Fourth Proportional to 21,540.66, 32,127.48 and 21,166.86

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Solution

The fourth proportional to 21,540.66, 32,127.48 and 21,166.86 is: 31,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.66 : 32,127.48 = 21,166.86 : x
  2. Step 2: Convert to fraction form
    21,540.66/32,127.48 = 21,166.86/x
  3. Step 3: Cross multiply
    21,540.66x = 32,127.48 × 21,166.86
  4. Step 4: Simplify right side
    21,540.66x = 680,037,871.31
  5. Step 5: Solve for x
    x = 680,037,871.31/21,540.66
  6. Step 6: Final answer
    x = 31,569.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.