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Finding the Fourth Proportional to 22,133.10, 33,205.80 and 9,654.21

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Solution

The fourth proportional to 22,133.10, 33,205.80 and 9,654.21 is: 14,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.10 : 33,205.80 = 9,654.21 : x
  2. Step 2: Convert to fraction form
    22,133.10/33,205.80 = 9,654.21/x
  3. Step 3: Cross multiply
    22,133.10x = 33,205.80 × 9,654.21
  4. Step 4: Simplify right side
    22,133.10x = 320,575,766.42
  5. Step 5: Solve for x
    x = 320,575,766.42/22,133.10
  6. Step 6: Final answer
    x = 14,484.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.