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Finding the Fourth Proportional to 23,645.60, 32,625.04 and 15,252

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Solution

The fourth proportional to 23,645.60, 32,625.04 and 15,252 is: 21,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.60 : 32,625.04 = 15,252 : x
  2. Step 2: Convert to fraction form
    23,645.60/32,625.04 = 15,252/x
  3. Step 3: Cross multiply
    23,645.60x = 32,625.04 × 15,252
  4. Step 4: Simplify right side
    23,645.60x = 497,597,110.08
  5. Step 5: Solve for x
    x = 497,597,110.08/23,645.60
  6. Step 6: Final answer
    x = 21,043.96

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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.