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Finding the Fourth Proportional to 24,978.45, 37,486.16 and 11,830.86

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Solution

The fourth proportional to 24,978.45, 37,486.16 and 11,830.86 is: 17,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.45 : 37,486.16 = 11,830.86 : x
  2. Step 2: Convert to fraction form
    24,978.45/37,486.16 = 11,830.86/x
  3. Step 3: Cross multiply
    24,978.45x = 37,486.16 × 11,830.86
  4. Step 4: Simplify right side
    24,978.45x = 443,493,510.90
  5. Step 5: Solve for x
    x = 443,493,510.90/24,978.45
  6. Step 6: Final answer
    x = 17,755.05

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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.