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Finding the Fourth Proportional to 23,645.35, 35,464.68 and 7,007.14

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Solution

The fourth proportional to 23,645.35, 35,464.68 and 7,007.14 is: 10,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.35 : 35,464.68 = 7,007.14 : x
  2. Step 2: Convert to fraction form
    23,645.35/35,464.68 = 7,007.14/x
  3. Step 3: Cross multiply
    23,645.35x = 35,464.68 × 7,007.14
  4. Step 4: Simplify right side
    23,645.35x = 248,505,977.82
  5. Step 5: Solve for x
    x = 248,505,977.82/23,645.35
  6. Step 6: Final answer
    x = 10,509.72

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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.