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Finding the Fourth Proportional to 13,807.01, 19,054.02 and 7,839.41

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Solution

The fourth proportional to 13,807.01, 19,054.02 and 7,839.41 is: 10,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.01 : 19,054.02 = 7,839.41 : x
  2. Step 2: Convert to fraction form
    13,807.01/19,054.02 = 7,839.41/x
  3. Step 3: Cross multiply
    13,807.01x = 19,054.02 × 7,839.41
  4. Step 4: Simplify right side
    13,807.01x = 149,372,274.93
  5. Step 5: Solve for x
    x = 149,372,274.93/13,807.01
  6. Step 6: Final answer
    x = 10,818.58

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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.