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Finding the Fourth Proportional to 16,101.60, 24,142.80 and 8,325.60

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Solution

The fourth proportional to 16,101.60, 24,142.80 and 8,325.60 is: 12,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.60 : 24,142.80 = 8,325.60 : x
  2. Step 2: Convert to fraction form
    16,101.60/24,142.80 = 8,325.60/x
  3. Step 3: Cross multiply
    16,101.60x = 24,142.80 × 8,325.60
  4. Step 4: Simplify right side
    16,101.60x = 201,003,295.68
  5. Step 5: Solve for x
    x = 201,003,295.68/16,101.60
  6. Step 6: Final answer
    x = 12,483.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.