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Finding the Fourth Proportional to 23,889.40, 35,820.25 and 8,089.16

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Solution

The fourth proportional to 23,889.40, 35,820.25 and 8,089.16 is: 12,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,889.40 : 35,820.25 = 8,089.16 : x
  2. Step 2: Convert to fraction form
    23,889.40/35,820.25 = 8,089.16/x
  3. Step 3: Cross multiply
    23,889.40x = 35,820.25 × 8,089.16
  4. Step 4: Simplify right side
    23,889.40x = 289,755,564.50
  5. Step 5: Solve for x
    x = 289,755,564.50/23,889.40
  6. Step 6: Final answer
    x = 12,129.04

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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.