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Finding the Fourth Proportional to 24,312.67, 36,469.01 and 7,674.38

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Solution

The fourth proportional to 24,312.67, 36,469.01 and 7,674.38 is: 11,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.67 : 36,469.01 = 7,674.38 : x
  2. Step 2: Convert to fraction form
    24,312.67/36,469.01 = 7,674.38/x
  3. Step 3: Cross multiply
    24,312.67x = 36,469.01 × 7,674.38
  4. Step 4: Simplify right side
    24,312.67x = 279,877,151.32
  5. Step 5: Solve for x
    x = 279,877,151.32/24,312.67
  6. Step 6: Final answer
    x = 11,511.58

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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.