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Finding the Fourth Proportional to 15,735, 23,602.50 and 5,346.84

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Solution

The fourth proportional to 15,735, 23,602.50 and 5,346.84 is: 8,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735 : 23,602.50 = 5,346.84 : x
  2. Step 2: Convert to fraction form
    15,735/23,602.50 = 5,346.84/x
  3. Step 3: Cross multiply
    15,735x = 23,602.50 × 5,346.84
  4. Step 4: Simplify right side
    15,735x = 126,198,791.10
  5. Step 5: Solve for x
    x = 126,198,791.10/15,735
  6. Step 6: Final answer
    x = 8,020.26

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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.