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Finding the Fourth Proportional to 10,858.46, 16,205.67 and 9,808.70

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Solution

The fourth proportional to 10,858.46, 16,205.67 and 9,808.70 is: 14,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.46 : 16,205.67 = 9,808.70 : x
  2. Step 2: Convert to fraction form
    10,858.46/16,205.67 = 9,808.70/x
  3. Step 3: Cross multiply
    10,858.46x = 16,205.67 × 9,808.70
  4. Step 4: Simplify right side
    10,858.46x = 158,956,474.30
  5. Step 5: Solve for x
    x = 158,956,474.30/10,858.46
  6. Step 6: Final answer
    x = 14,638.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.