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Finding the Fourth Proportional to 16,274.33, 22,472.47 and 10,316.58

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Solution

The fourth proportional to 16,274.33, 22,472.47 and 10,316.58 is: 14,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.33 : 22,472.47 = 10,316.58 : x
  2. Step 2: Convert to fraction form
    16,274.33/22,472.47 = 10,316.58/x
  3. Step 3: Cross multiply
    16,274.33x = 22,472.47 × 10,316.58
  4. Step 4: Simplify right side
    16,274.33x = 231,839,034.55
  5. Step 5: Solve for x
    x = 231,839,034.55/16,274.33
  6. Step 6: Final answer
    x = 14,245.69

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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.