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Finding the Fourth Proportional to 23,770.69, 32,803.55 and 13,161.00

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Solution

The fourth proportional to 23,770.69, 32,803.55 and 13,161.00 is: 18,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.69 : 32,803.55 = 13,161.00 : x
  2. Step 2: Convert to fraction form
    23,770.69/32,803.55 = 13,161.00/x
  3. Step 3: Cross multiply
    23,770.69x = 32,803.55 × 13,161.00
  4. Step 4: Simplify right side
    23,770.69x = 431,727,628.11
  5. Step 5: Solve for x
    x = 431,727,628.11/23,770.69
  6. Step 6: Final answer
    x = 18,162.19

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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.