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Finding the Fourth Proportional to 16,337.75, 24,506.64 and 7,103.75

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Solution

The fourth proportional to 16,337.75, 24,506.64 and 7,103.75 is: 10,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.75 : 24,506.64 = 7,103.75 : x
  2. Step 2: Convert to fraction form
    16,337.75/24,506.64 = 7,103.75/x
  3. Step 3: Cross multiply
    16,337.75x = 24,506.64 × 7,103.75
  4. Step 4: Simplify right side
    16,337.75x = 174,089,043.90
  5. Step 5: Solve for x
    x = 174,089,043.90/16,337.75
  6. Step 6: Final answer
    x = 10,655.63

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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.