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Finding the Fourth Proportional to 24,784.62, 37,157.49 and 12,295.86

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Solution

The fourth proportional to 24,784.62, 37,157.49 and 12,295.86 is: 18,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.62 : 37,157.49 = 12,295.86 : x
  2. Step 2: Convert to fraction form
    24,784.62/37,157.49 = 12,295.86/x
  3. Step 3: Cross multiply
    24,784.62x = 37,157.49 × 12,295.86
  4. Step 4: Simplify right side
    24,784.62x = 456,883,294.99
  5. Step 5: Solve for x
    x = 456,883,294.99/24,784.62
  6. Step 6: Final answer
    x = 18,434.15

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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.