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Finding the Fourth Proportional to 21,675.24, 32,509.08 and 6,880.86

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Solution

The fourth proportional to 21,675.24, 32,509.08 and 6,880.86 is: 10,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.24 : 32,509.08 = 6,880.86 : x
  2. Step 2: Convert to fraction form
    21,675.24/32,509.08 = 6,880.86/x
  3. Step 3: Cross multiply
    21,675.24x = 32,509.08 × 6,880.86
  4. Step 4: Simplify right side
    21,675.24x = 223,690,428.21
  5. Step 5: Solve for x
    x = 223,690,428.21/21,675.24
  6. Step 6: Final answer
    x = 10,320.09

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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.