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Finding the Fourth Proportional to 36,573.66, 54,827.64 and 13,194.64

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Solution

The fourth proportional to 36,573.66, 54,827.64 and 13,194.64 is: 19,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,573.66 : 54,827.64 = 13,194.64 : x
  2. Step 2: Convert to fraction form
    36,573.66/54,827.64 = 13,194.64/x
  3. Step 3: Cross multiply
    36,573.66x = 54,827.64 × 13,194.64
  4. Step 4: Simplify right side
    36,573.66x = 723,430,971.85
  5. Step 5: Solve for x
    x = 723,430,971.85/36,573.66
  6. Step 6: Final answer
    x = 19,780.11

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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.