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Finding the Fourth Proportional to 23,570.75, 35,308.37 and 10,902.51

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Solution

The fourth proportional to 23,570.75, 35,308.37 and 10,902.51 is: 16,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.75 : 35,308.37 = 10,902.51 : x
  2. Step 2: Convert to fraction form
    23,570.75/35,308.37 = 10,902.51/x
  3. Step 3: Cross multiply
    23,570.75x = 35,308.37 × 10,902.51
  4. Step 4: Simplify right side
    23,570.75x = 384,949,802.50
  5. Step 5: Solve for x
    x = 384,949,802.50/23,570.75
  6. Step 6: Final answer
    x = 16,331.68

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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.