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Finding the Fourth Proportional to 13,853.66, 19,119.64 and 7,803.96

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Solution

The fourth proportional to 13,853.66, 19,119.64 and 7,803.96 is: 10,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.66 : 19,119.64 = 7,803.96 : x
  2. Step 2: Convert to fraction form
    13,853.66/19,119.64 = 7,803.96/x
  3. Step 3: Cross multiply
    13,853.66x = 19,119.64 × 7,803.96
  4. Step 4: Simplify right side
    13,853.66x = 149,208,905.77
  5. Step 5: Solve for x
    x = 149,208,905.77/13,853.66
  6. Step 6: Final answer
    x = 10,770.36

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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.