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Finding the Fourth Proportional to 24,457.74, 36,672.84 and 7,813.86

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Solution

The fourth proportional to 24,457.74, 36,672.84 and 7,813.86 is: 11,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.74 : 36,672.84 = 7,813.86 : x
  2. Step 2: Convert to fraction form
    24,457.74/36,672.84 = 7,813.86/x
  3. Step 3: Cross multiply
    24,457.74x = 36,672.84 × 7,813.86
  4. Step 4: Simplify right side
    24,457.74x = 286,556,437.56
  5. Step 5: Solve for x
    x = 286,556,437.56/24,457.74
  6. Step 6: Final answer
    x = 11,716.39

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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.