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Finding the Fourth Proportional to 21,870.96, 32,808.24 and 6,288.72

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Solution

The fourth proportional to 21,870.96, 32,808.24 and 6,288.72 is: 9,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.96 : 32,808.24 = 6,288.72 : x
  2. Step 2: Convert to fraction form
    21,870.96/32,808.24 = 6,288.72/x
  3. Step 3: Cross multiply
    21,870.96x = 32,808.24 × 6,288.72
  4. Step 4: Simplify right side
    21,870.96x = 206,321,835.05
  5. Step 5: Solve for x
    x = 206,321,835.05/21,870.96
  6. Step 6: Final answer
    x = 9,433.60

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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.