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Finding the Fourth Proportional to 13,841.90, 19,101.62 and 7,553.86

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Solution

The fourth proportional to 13,841.90, 19,101.62 and 7,553.86 is: 10,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.90 : 19,101.62 = 7,553.86 : x
  2. Step 2: Convert to fraction form
    13,841.90/19,101.62 = 7,553.86/x
  3. Step 3: Cross multiply
    13,841.90x = 19,101.62 × 7,553.86
  4. Step 4: Simplify right side
    13,841.90x = 144,290,963.25
  5. Step 5: Solve for x
    x = 144,290,963.25/13,841.90
  6. Step 6: Final answer
    x = 10,424.22

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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.