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Finding the Fourth Proportional to 21,856.68, 32,785.20 and 7,065.58

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Solution

The fourth proportional to 21,856.68, 32,785.20 and 7,065.58 is: 10,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.68 : 32,785.20 = 7,065.58 : x
  2. Step 2: Convert to fraction form
    21,856.68/32,785.20 = 7,065.58/x
  3. Step 3: Cross multiply
    21,856.68x = 32,785.20 × 7,065.58
  4. Step 4: Simplify right side
    21,856.68x = 231,646,453.42
  5. Step 5: Solve for x
    x = 231,646,453.42/21,856.68
  6. Step 6: Final answer
    x = 10,598.43

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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.