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Finding the Fourth Proportional to 23,770.66, 32,803.77 and 13,160.47

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Solution

The fourth proportional to 23,770.66, 32,803.77 and 13,160.47 is: 18,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.66 : 32,803.77 = 13,160.47 : x
  2. Step 2: Convert to fraction form
    23,770.66/32,803.77 = 13,160.47/x
  3. Step 3: Cross multiply
    23,770.66x = 32,803.77 × 13,160.47
  4. Step 4: Simplify right side
    23,770.66x = 431,713,030.97
  5. Step 5: Solve for x
    x = 431,713,030.97/23,770.66
  6. Step 6: Final answer
    x = 18,161.59

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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.