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Finding the Fourth Proportional to 10,836.90, 16,223.67 and 9,799.29

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Solution

The fourth proportional to 10,836.90, 16,223.67 and 9,799.29 is: 14,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.90 : 16,223.67 = 9,799.29 : x
  2. Step 2: Convert to fraction form
    10,836.90/16,223.67 = 9,799.29/x
  3. Step 3: Cross multiply
    10,836.90x = 16,223.67 × 9,799.29
  4. Step 4: Simplify right side
    10,836.90x = 158,980,447.19
  5. Step 5: Solve for x
    x = 158,980,447.19/10,836.90
  6. Step 6: Final answer
    x = 14,670.29

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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.