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Finding the Fourth Proportional to 23,624, 35,436 and 9,773.36

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Solution

The fourth proportional to 23,624, 35,436 and 9,773.36 is: 14,660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624 : 35,436 = 9,773.36 : x
  2. Step 2: Convert to fraction form
    23,624/35,436 = 9,773.36/x
  3. Step 3: Cross multiply
    23,624x = 35,436 × 9,773.36
  4. Step 4: Simplify right side
    23,624x = 346,328,784.96
  5. Step 5: Solve for x
    x = 346,328,784.96/23,624
  6. Step 6: Final answer
    x = 14,660.04

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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.