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Finding the Fourth Proportional to 21,880.56, 32,815.36 and 6,298.19

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Solution

The fourth proportional to 21,880.56, 32,815.36 and 6,298.19 is: 9,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880.56 : 32,815.36 = 6,298.19 : x
  2. Step 2: Convert to fraction form
    21,880.56/32,815.36 = 6,298.19/x
  3. Step 3: Cross multiply
    21,880.56x = 32,815.36 × 6,298.19
  4. Step 4: Simplify right side
    21,880.56x = 206,677,339.05
  5. Step 5: Solve for x
    x = 206,677,339.05/21,880.56
  6. Step 6: Final answer
    x = 9,445.70

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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.