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Finding the Fourth Proportional to 16,148.67, 22,284.02 and 9,076.17

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Solution

The fourth proportional to 16,148.67, 22,284.02 and 9,076.17 is: 12,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.67 : 22,284.02 = 9,076.17 : x
  2. Step 2: Convert to fraction form
    16,148.67/22,284.02 = 9,076.17/x
  3. Step 3: Cross multiply
    16,148.67x = 22,284.02 × 9,076.17
  4. Step 4: Simplify right side
    16,148.67x = 202,253,508.42
  5. Step 5: Solve for x
    x = 202,253,508.42/16,148.67
  6. Step 6: Final answer
    x = 12,524.47

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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.