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Finding the Fourth Proportional to 16,547.82, 22,847.92 and 10,182.98

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Solution

The fourth proportional to 16,547.82, 22,847.92 and 10,182.98 is: 14,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.82 : 22,847.92 = 10,182.98 : x
  2. Step 2: Convert to fraction form
    16,547.82/22,847.92 = 10,182.98/x
  3. Step 3: Cross multiply
    16,547.82x = 22,847.92 × 10,182.98
  4. Step 4: Simplify right side
    16,547.82x = 232,659,912.40
  5. Step 5: Solve for x
    x = 232,659,912.40/16,547.82
  6. Step 6: Final answer
    x = 14,059.85

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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.