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Finding the Fourth Proportional to 24,859.14, 37,294.54 and 8,219.16

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Solution

The fourth proportional to 24,859.14, 37,294.54 and 8,219.16 is: 12,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859.14 : 37,294.54 = 8,219.16 : x
  2. Step 2: Convert to fraction form
    24,859.14/37,294.54 = 8,219.16/x
  3. Step 3: Cross multiply
    24,859.14x = 37,294.54 × 8,219.16
  4. Step 4: Simplify right side
    24,859.14x = 306,529,791.39
  5. Step 5: Solve for x
    x = 306,529,791.39/24,859.14
  6. Step 6: Final answer
    x = 12,330.67

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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.