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Finding the Fourth Proportional to 16,005.68, 22,087.86 and 8,932.10

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Solution

The fourth proportional to 16,005.68, 22,087.86 and 8,932.10 is: 12,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.68 : 22,087.86 = 8,932.10 : x
  2. Step 2: Convert to fraction form
    16,005.68/22,087.86 = 8,932.10/x
  3. Step 3: Cross multiply
    16,005.68x = 22,087.86 × 8,932.10
  4. Step 4: Simplify right side
    16,005.68x = 197,291,029.53
  5. Step 5: Solve for x
    x = 197,291,029.53/16,005.68
  6. Step 6: Final answer
    x = 12,326.31

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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.