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Finding the Fourth Proportional to 23,628.96, 35,419.12 and 10,487.52

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Solution

The fourth proportional to 23,628.96, 35,419.12 and 10,487.52 is: 15,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,628.96 : 35,419.12 = 10,487.52 : x
  2. Step 2: Convert to fraction form
    23,628.96/35,419.12 = 10,487.52/x
  3. Step 3: Cross multiply
    23,628.96x = 35,419.12 × 10,487.52
  4. Step 4: Simplify right side
    23,628.96x = 371,458,729.38
  5. Step 5: Solve for x
    x = 371,458,729.38/23,628.96
  6. Step 6: Final answer
    x = 15,720.49

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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.