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Finding the Fourth Proportional to 21,019.68, 31,535.68 and 6,228.96

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Solution

The fourth proportional to 21,019.68, 31,535.68 and 6,228.96 is: 9,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.68 : 31,535.68 = 6,228.96 : x
  2. Step 2: Convert to fraction form
    21,019.68/31,535.68 = 6,228.96/x
  3. Step 3: Cross multiply
    21,019.68x = 31,535.68 × 6,228.96
  4. Step 4: Simplify right side
    21,019.68x = 196,434,489.29
  5. Step 5: Solve for x
    x = 196,434,489.29/21,019.68
  6. Step 6: Final answer
    x = 9,345.27

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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.