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Finding the Fourth Proportional to 11,866.64, 17,789.40 and 6,020.24

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Solution

The fourth proportional to 11,866.64, 17,789.40 and 6,020.24 is: 9,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.64 : 17,789.40 = 6,020.24 : x
  2. Step 2: Convert to fraction form
    11,866.64/17,789.40 = 6,020.24/x
  3. Step 3: Cross multiply
    11,866.64x = 17,789.40 × 6,020.24
  4. Step 4: Simplify right side
    11,866.64x = 107,096,457.46
  5. Step 5: Solve for x
    x = 107,096,457.46/11,866.64
  6. Step 6: Final answer
    x = 9,025.00

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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.