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Finding the Fourth Proportional to 16,298.73, 24,447.60 and 5,206.05

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Solution

The fourth proportional to 16,298.73, 24,447.60 and 5,206.05 is: 7,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.73 : 24,447.60 = 5,206.05 : x
  2. Step 2: Convert to fraction form
    16,298.73/24,447.60 = 5,206.05/x
  3. Step 3: Cross multiply
    16,298.73x = 24,447.60 × 5,206.05
  4. Step 4: Simplify right side
    16,298.73x = 127,275,427.98
  5. Step 5: Solve for x
    x = 127,275,427.98/16,298.73
  6. Step 6: Final answer
    x = 7,808.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.