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Finding the Fourth Proportional to 11,820.66, 17,731.53 and 4,423.20

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Solution

The fourth proportional to 11,820.66, 17,731.53 and 4,423.20 is: 6,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.66 : 17,731.53 = 4,423.20 : x
  2. Step 2: Convert to fraction form
    11,820.66/17,731.53 = 4,423.20/x
  3. Step 3: Cross multiply
    11,820.66x = 17,731.53 × 4,423.20
  4. Step 4: Simplify right side
    11,820.66x = 78,430,103.50
  5. Step 5: Solve for x
    x = 78,430,103.50/11,820.66
  6. Step 6: Final answer
    x = 6,635.00

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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.