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Finding the Fourth Proportional to 23,433, 32,337.84 and 13,497

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Solution

The fourth proportional to 23,433, 32,337.84 and 13,497 is: 18,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433 : 32,337.84 = 13,497 : x
  2. Step 2: Convert to fraction form
    23,433/32,337.84 = 13,497/x
  3. Step 3: Cross multiply
    23,433x = 32,337.84 × 13,497
  4. Step 4: Simplify right side
    23,433x = 436,463,826.48
  5. Step 5: Solve for x
    x = 436,463,826.48/23,433
  6. Step 6: Final answer
    x = 18,626.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.