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Finding the Fourth Proportional to 23,889.66, 35,838.72 and 9,099.96

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Solution

The fourth proportional to 23,889.66, 35,838.72 and 9,099.96 is: 13,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,889.66 : 35,838.72 = 9,099.96 : x
  2. Step 2: Convert to fraction form
    23,889.66/35,838.72 = 9,099.96/x
  3. Step 3: Cross multiply
    23,889.66x = 35,838.72 × 9,099.96
  4. Step 4: Simplify right side
    23,889.66x = 326,130,918.45
  5. Step 5: Solve for x
    x = 326,130,918.45/23,889.66
  6. Step 6: Final answer
    x = 13,651.55

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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.