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Finding the Fourth Proportional to 24,609.14, 36,919.52 and 7,969.14

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Solution

The fourth proportional to 24,609.14, 36,919.52 and 7,969.14 is: 11,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.14 : 36,919.52 = 7,969.14 : x
  2. Step 2: Convert to fraction form
    24,609.14/36,919.52 = 7,969.14/x
  3. Step 3: Cross multiply
    24,609.14x = 36,919.52 × 7,969.14
  4. Step 4: Simplify right side
    24,609.14x = 294,216,783.77
  5. Step 5: Solve for x
    x = 294,216,783.77/24,609.14
  6. Step 6: Final answer
    x = 11,955.59

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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.