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Finding the Fourth Proportional to 13,310.90, 19,924.80 and 9,804.86

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Solution

The fourth proportional to 13,310.90, 19,924.80 and 9,804.86 is: 14,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.90 : 19,924.80 = 9,804.86 : x
  2. Step 2: Convert to fraction form
    13,310.90/19,924.80 = 9,804.86/x
  3. Step 3: Cross multiply
    13,310.90x = 19,924.80 × 9,804.86
  4. Step 4: Simplify right side
    13,310.90x = 195,359,874.53
  5. Step 5: Solve for x
    x = 195,359,874.53/13,310.90
  6. Step 6: Final answer
    x = 14,676.68

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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.