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Finding the Fourth Proportional to 13,841.48, 19,102.02 and 7,553.96

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Solution

The fourth proportional to 13,841.48, 19,102.02 and 7,553.96 is: 10,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.48 : 19,102.02 = 7,553.96 : x
  2. Step 2: Convert to fraction form
    13,841.48/19,102.02 = 7,553.96/x
  3. Step 3: Cross multiply
    13,841.48x = 19,102.02 × 7,553.96
  4. Step 4: Simplify right side
    13,841.48x = 144,295,895.00
  5. Step 5: Solve for x
    x = 144,295,895.00/13,841.48
  6. Step 6: Final answer
    x = 10,424.89

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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.