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Finding the Fourth Proportional to 16,005.58, 22,087.74 and 8,932

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Solution

The fourth proportional to 16,005.58, 22,087.74 and 8,932 is: 12,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.58 : 22,087.74 = 8,932 : x
  2. Step 2: Convert to fraction form
    16,005.58/22,087.74 = 8,932/x
  3. Step 3: Cross multiply
    16,005.58x = 22,087.74 × 8,932
  4. Step 4: Simplify right side
    16,005.58x = 197,287,693.68
  5. Step 5: Solve for x
    x = 197,287,693.68/16,005.58
  6. Step 6: Final answer
    x = 12,326.18

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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.