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Finding the Fourth Proportional to 23,475.64, 32,410.38 and 15,524.68

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Solution

The fourth proportional to 23,475.64, 32,410.38 and 15,524.68 is: 21,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,475.64 : 32,410.38 = 15,524.68 : x
  2. Step 2: Convert to fraction form
    23,475.64/32,410.38 = 15,524.68/x
  3. Step 3: Cross multiply
    23,475.64x = 32,410.38 × 15,524.68
  4. Step 4: Simplify right side
    23,475.64x = 503,160,778.18
  5. Step 5: Solve for x
    x = 503,160,778.18/23,475.64
  6. Step 6: Final answer
    x = 21,433.31

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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.