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Finding the Fourth Proportional to 24,102.64, 36,157.80 and 8,303.76

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Solution

The fourth proportional to 24,102.64, 36,157.80 and 8,303.76 is: 12,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.64 : 36,157.80 = 8,303.76 : x
  2. Step 2: Convert to fraction form
    24,102.64/36,157.80 = 8,303.76/x
  3. Step 3: Cross multiply
    24,102.64x = 36,157.80 × 8,303.76
  4. Step 4: Simplify right side
    24,102.64x = 300,245,693.33
  5. Step 5: Solve for x
    x = 300,245,693.33/24,102.64
  6. Step 6: Final answer
    x = 12,456.96

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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.