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Finding the Fourth Proportional to 24,928.80, 37,396.64 and 9,131.76

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Solution

The fourth proportional to 24,928.80, 37,396.64 and 9,131.76 is: 13,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,928.80 : 37,396.64 = 9,131.76 : x
  2. Step 2: Convert to fraction form
    24,928.80/37,396.64 = 9,131.76/x
  3. Step 3: Cross multiply
    24,928.80x = 37,396.64 × 9,131.76
  4. Step 4: Simplify right side
    24,928.80x = 341,497,141.29
  5. Step 5: Solve for x
    x = 341,497,141.29/24,928.80
  6. Step 6: Final answer
    x = 13,698.90

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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.