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Finding the Fourth Proportional to 11,898.40, 17,841.12 and 9,448.96

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Solution

The fourth proportional to 11,898.40, 17,841.12 and 9,448.96 is: 14,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.40 : 17,841.12 = 9,448.96 : x
  2. Step 2: Convert to fraction form
    11,898.40/17,841.12 = 9,448.96/x
  3. Step 3: Cross multiply
    11,898.40x = 17,841.12 × 9,448.96
  4. Step 4: Simplify right side
    11,898.40x = 168,580,029.24
  5. Step 5: Solve for x
    x = 168,580,029.24/11,898.40
  6. Step 6: Final answer
    x = 14,168.29

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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.