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Finding the Fourth Proportional to 21,760.96, 30,038.88 and 16,456.96

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Solution

The fourth proportional to 21,760.96, 30,038.88 and 16,456.96 is: 22,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760.96 : 30,038.88 = 16,456.96 : x
  2. Step 2: Convert to fraction form
    21,760.96/30,038.88 = 16,456.96/x
  3. Step 3: Cross multiply
    21,760.96x = 30,038.88 × 16,456.96
  4. Step 4: Simplify right side
    21,760.96x = 494,348,646.60
  5. Step 5: Solve for x
    x = 494,348,646.60/21,760.96
  6. Step 6: Final answer
    x = 22,717.23

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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.