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Finding the Fourth Proportional to 16,148.92, 22,284.36 and 9,076.42

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Solution

The fourth proportional to 16,148.92, 22,284.36 and 9,076.42 is: 12,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.92 : 22,284.36 = 9,076.42 : x
  2. Step 2: Convert to fraction form
    16,148.92/22,284.36 = 9,076.42/x
  3. Step 3: Cross multiply
    16,148.92x = 22,284.36 × 9,076.42
  4. Step 4: Simplify right side
    16,148.92x = 202,262,210.79
  5. Step 5: Solve for x
    x = 202,262,210.79/16,148.92
  6. Step 6: Final answer
    x = 12,524.81

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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.