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Finding the Fourth Proportional to 13,805.68, 19,048.60 and 7,836

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Solution

The fourth proportional to 13,805.68, 19,048.60 and 7,836 is: 10,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.68 : 19,048.60 = 7,836 : x
  2. Step 2: Convert to fraction form
    13,805.68/19,048.60 = 7,836/x
  3. Step 3: Cross multiply
    13,805.68x = 19,048.60 × 7,836
  4. Step 4: Simplify right side
    13,805.68x = 149,264,829.60
  5. Step 5: Solve for x
    x = 149,264,829.60/13,805.68
  6. Step 6: Final answer
    x = 10,811.84

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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.