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Finding the Fourth Proportional to 10,902.30, 16,353.45 and 9,476.70

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Solution

The fourth proportional to 10,902.30, 16,353.45 and 9,476.70 is: 14,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.30 : 16,353.45 = 9,476.70 : x
  2. Step 2: Convert to fraction form
    10,902.30/16,353.45 = 9,476.70/x
  3. Step 3: Cross multiply
    10,902.30x = 16,353.45 × 9,476.70
  4. Step 4: Simplify right side
    10,902.30x = 154,976,739.62
  5. Step 5: Solve for x
    x = 154,976,739.62/10,902.30
  6. Step 6: Final answer
    x = 14,215.05

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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.