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Finding the Fourth Proportional to 23,597.64, 32,579.46 and 14,654.52

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Solution

The fourth proportional to 23,597.64, 32,579.46 and 14,654.52 is: 20,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.64 : 32,579.46 = 14,654.52 : x
  2. Step 2: Convert to fraction form
    23,597.64/32,579.46 = 14,654.52/x
  3. Step 3: Cross multiply
    23,597.64x = 32,579.46 × 14,654.52
  4. Step 4: Simplify right side
    23,597.64x = 477,436,348.16
  5. Step 5: Solve for x
    x = 477,436,348.16/23,597.64
  6. Step 6: Final answer
    x = 20,232.38

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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.