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Finding the Fourth Proportional to 14,127.75, 19,496.97 and 7,840.13

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Solution

The fourth proportional to 14,127.75, 19,496.97 and 7,840.13 is: 10,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.75 : 19,496.97 = 7,840.13 : x
  2. Step 2: Convert to fraction form
    14,127.75/19,496.97 = 7,840.13/x
  3. Step 3: Cross multiply
    14,127.75x = 19,496.97 × 7,840.13
  4. Step 4: Simplify right side
    14,127.75x = 152,858,681.92
  5. Step 5: Solve for x
    x = 152,858,681.92/14,127.75
  6. Step 6: Final answer
    x = 10,819.75

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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.