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Finding the Fourth Proportional to 23,657.40, 35,487.72 and 6,129

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Solution

The fourth proportional to 23,657.40, 35,487.72 and 6,129 is: 9,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.40 : 35,487.72 = 6,129 : x
  2. Step 2: Convert to fraction form
    23,657.40/35,487.72 = 6,129/x
  3. Step 3: Cross multiply
    23,657.40x = 35,487.72 × 6,129
  4. Step 4: Simplify right side
    23,657.40x = 217,504,235.88
  5. Step 5: Solve for x
    x = 217,504,235.88/23,657.40
  6. Step 6: Final answer
    x = 9,193.92

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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.