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Finding the Fourth Proportional to 21,833.40, 32,750.10 and 7,042.80

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Solution

The fourth proportional to 21,833.40, 32,750.10 and 7,042.80 is: 10,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.40 : 32,750.10 = 7,042.80 : x
  2. Step 2: Convert to fraction form
    21,833.40/32,750.10 = 7,042.80/x
  3. Step 3: Cross multiply
    21,833.40x = 32,750.10 × 7,042.80
  4. Step 4: Simplify right side
    21,833.40x = 230,652,404.28
  5. Step 5: Solve for x
    x = 230,652,404.28/21,833.40
  6. Step 6: Final answer
    x = 10,564.20

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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.