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Finding the Fourth Proportional to 21,833.20, 32,750.56 and 7,037.76

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Solution

The fourth proportional to 21,833.20, 32,750.56 and 7,037.76 is: 10,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.20 : 32,750.56 = 7,037.76 : x
  2. Step 2: Convert to fraction form
    21,833.20/32,750.56 = 7,037.76/x
  3. Step 3: Cross multiply
    21,833.20x = 32,750.56 × 7,037.76
  4. Step 4: Simplify right side
    21,833.20x = 230,490,581.15
  5. Step 5: Solve for x
    x = 230,490,581.15/21,833.20
  6. Step 6: Final answer
    x = 10,556.88

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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.