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Finding the Fourth Proportional to 23,709.50, 35,552.40 and 7,909.03

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Solution

The fourth proportional to 23,709.50, 35,552.40 and 7,909.03 is: 11,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.50 : 35,552.40 = 7,909.03 : x
  2. Step 2: Convert to fraction form
    23,709.50/35,552.40 = 7,909.03/x
  3. Step 3: Cross multiply
    23,709.50x = 35,552.40 × 7,909.03
  4. Step 4: Simplify right side
    23,709.50x = 281,184,998.17
  5. Step 5: Solve for x
    x = 281,184,998.17/23,709.50
  6. Step 6: Final answer
    x = 11,859.59

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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.