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Finding the Fourth Proportional to 21,823.40, 30,114.96 and 12,871.28

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Solution

The fourth proportional to 21,823.40, 30,114.96 and 12,871.28 is: 17,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.40 : 30,114.96 = 12,871.28 : x
  2. Step 2: Convert to fraction form
    21,823.40/30,114.96 = 12,871.28/x
  3. Step 3: Cross multiply
    21,823.40x = 30,114.96 × 12,871.28
  4. Step 4: Simplify right side
    21,823.40x = 387,618,109.37
  5. Step 5: Solve for x
    x = 387,618,109.37/21,823.40
  6. Step 6: Final answer
    x = 17,761.58

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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.