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Finding the Fourth Proportional to 12,838.14, 17,716.05 and 7,537.50

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Solution

The fourth proportional to 12,838.14, 17,716.05 and 7,537.50 is: 10,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.14 : 17,716.05 = 7,537.50 : x
  2. Step 2: Convert to fraction form
    12,838.14/17,716.05 = 7,537.50/x
  3. Step 3: Cross multiply
    12,838.14x = 17,716.05 × 7,537.50
  4. Step 4: Simplify right side
    12,838.14x = 133,534,726.88
  5. Step 5: Solve for x
    x = 133,534,726.88/12,838.14
  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.