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Finding the Fourth Proportional to 23,609.16, 35,406.06 and 7,811.22

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Solution

The fourth proportional to 23,609.16, 35,406.06 and 7,811.22 is: 11,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.16 : 35,406.06 = 7,811.22 : x
  2. Step 2: Convert to fraction form
    23,609.16/35,406.06 = 7,811.22/x
  3. Step 3: Cross multiply
    23,609.16x = 35,406.06 × 7,811.22
  4. Step 4: Simplify right side
    23,609.16x = 276,564,523.99
  5. Step 5: Solve for x
    x = 276,564,523.99/23,609.16
  6. Step 6: Final answer
    x = 11,714.29

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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.