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Finding the Fourth Proportional to 13,910.86, 19,196.85 and 7,537.30

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Solution

The fourth proportional to 13,910.86, 19,196.85 and 7,537.30 is: 10,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.86 : 19,196.85 = 7,537.30 : x
  2. Step 2: Convert to fraction form
    13,910.86/19,196.85 = 7,537.30/x
  3. Step 3: Cross multiply
    13,910.86x = 19,196.85 × 7,537.30
  4. Step 4: Simplify right side
    13,910.86x = 144,692,463.36
  5. Step 5: Solve for x
    x = 144,692,463.36/13,910.86
  6. Step 6: Final answer
    x = 10,401.41

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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.