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Finding the Fourth Proportional to 23,852.96, 35,785.92 and 16,971.20

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Solution

The fourth proportional to 23,852.96, 35,785.92 and 16,971.20 is: 25,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.96 : 35,785.92 = 16,971.20 : x
  2. Step 2: Convert to fraction form
    23,852.96/35,785.92 = 16,971.20/x
  3. Step 3: Cross multiply
    23,852.96x = 35,785.92 × 16,971.20
  4. Step 4: Simplify right side
    23,852.96x = 607,330,005.50
  5. Step 5: Solve for x
    x = 607,330,005.50/23,852.96
  6. Step 6: Final answer
    x = 25,461.41

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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.