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Finding the Fourth Proportional to 13,841.44, 19,101.12 and 7,553.76

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Solution

The fourth proportional to 13,841.44, 19,101.12 and 7,553.76 is: 10,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.44 : 19,101.12 = 7,553.76 : x
  2. Step 2: Convert to fraction form
    13,841.44/19,101.12 = 7,553.76/x
  3. Step 3: Cross multiply
    13,841.44x = 19,101.12 × 7,553.76
  4. Step 4: Simplify right side
    13,841.44x = 144,285,276.21
  5. Step 5: Solve for x
    x = 144,285,276.21/13,841.44
  6. Step 6: Final answer
    x = 10,424.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.