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Finding the Fourth Proportional to 23,525.53, 32,465.10 and 12,770.62

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Solution

The fourth proportional to 23,525.53, 32,465.10 and 12,770.62 is: 17,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.53 : 32,465.10 = 12,770.62 : x
  2. Step 2: Convert to fraction form
    23,525.53/32,465.10 = 12,770.62/x
  3. Step 3: Cross multiply
    23,525.53x = 32,465.10 × 12,770.62
  4. Step 4: Simplify right side
    23,525.53x = 414,599,455.36
  5. Step 5: Solve for x
    x = 414,599,455.36/23,525.53
  6. Step 6: Final answer
    x = 17,623.38

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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.