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Finding the Fourth Proportional to 24,597.60, 36,896.40 and 8,181.60

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Solution

The fourth proportional to 24,597.60, 36,896.40 and 8,181.60 is: 12,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.60 : 36,896.40 = 8,181.60 : x
  2. Step 2: Convert to fraction form
    24,597.60/36,896.40 = 8,181.60/x
  3. Step 3: Cross multiply
    24,597.60x = 36,896.40 × 8,181.60
  4. Step 4: Simplify right side
    24,597.60x = 301,871,586.24
  5. Step 5: Solve for x
    x = 301,871,586.24/24,597.60
  6. Step 6: Final answer
    x = 12,272.40

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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.