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Finding the Fourth Proportional to 16,563.63, 24,851.52 and 7,683.20

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Solution

The fourth proportional to 16,563.63, 24,851.52 and 7,683.20 is: 11,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.63 : 24,851.52 = 7,683.20 : x
  2. Step 2: Convert to fraction form
    16,563.63/24,851.52 = 7,683.20/x
  3. Step 3: Cross multiply
    16,563.63x = 24,851.52 × 7,683.20
  4. Step 4: Simplify right side
    16,563.63x = 190,939,074.21
  5. Step 5: Solve for x
    x = 190,939,074.21/16,563.63
  6. Step 6: Final answer
    x = 11,527.61

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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.