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Finding the Fourth Proportional to 23,525.69, 32,465.31 and 12,770.78

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Solution

The fourth proportional to 23,525.69, 32,465.31 and 12,770.78 is: 17,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.69 : 32,465.31 = 12,770.78 : x
  2. Step 2: Convert to fraction form
    23,525.69/32,465.31 = 12,770.78/x
  3. Step 3: Cross multiply
    23,525.69x = 32,465.31 × 12,770.78
  4. Step 4: Simplify right side
    23,525.69x = 414,607,331.64
  5. Step 5: Solve for x
    x = 414,607,331.64/23,525.69
  6. Step 6: Final answer
    x = 17,623.60

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