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Finding the Fourth Proportional to 24,475.85, 36,708.24 and 11,321

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Solution

The fourth proportional to 24,475.85, 36,708.24 and 11,321 is: 16,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.85 : 36,708.24 = 11,321 : x
  2. Step 2: Convert to fraction form
    24,475.85/36,708.24 = 11,321/x
  3. Step 3: Cross multiply
    24,475.85x = 36,708.24 × 11,321
  4. Step 4: Simplify right side
    24,475.85x = 415,573,985.04
  5. Step 5: Solve for x
    x = 415,573,985.04/24,475.85
  6. Step 6: Final answer
    x = 16,978.94

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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.