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Finding the Fourth Proportional to 23,603.62, 35,430 and 10,465.21

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Solution

The fourth proportional to 23,603.62, 35,430 and 10,465.21 is: 15,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603.62 : 35,430 = 10,465.21 : x
  2. Step 2: Convert to fraction form
    23,603.62/35,430 = 10,465.21/x
  3. Step 3: Cross multiply
    23,603.62x = 35,430 × 10,465.21
  4. Step 4: Simplify right side
    23,603.62x = 370,782,390.30
  5. Step 5: Solve for x
    x = 370,782,390.30/23,603.62
  6. Step 6: Final answer
    x = 15,708.71

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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.