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Finding the Fourth Proportional to 16,382.58, 22,610.64 and 9,669.84

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Solution

The fourth proportional to 16,382.58, 22,610.64 and 9,669.84 is: 13,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.58 : 22,610.64 = 9,669.84 : x
  2. Step 2: Convert to fraction form
    16,382.58/22,610.64 = 9,669.84/x
  3. Step 3: Cross multiply
    16,382.58x = 22,610.64 × 9,669.84
  4. Step 4: Simplify right side
    16,382.58x = 218,641,271.10
  5. Step 5: Solve for x
    x = 218,641,271.10/16,382.58
  6. Step 6: Final answer
    x = 13,345.96

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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.