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Finding the Fourth Proportional to 14,186.31, 19,571.82 and 14,164.44

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Solution

The fourth proportional to 14,186.31, 19,571.82 and 14,164.44 is: 19,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.31 : 19,571.82 = 14,164.44 : x
  2. Step 2: Convert to fraction form
    14,186.31/19,571.82 = 14,164.44/x
  3. Step 3: Cross multiply
    14,186.31x = 19,571.82 × 14,164.44
  4. Step 4: Simplify right side
    14,186.31x = 277,223,870.08
  5. Step 5: Solve for x
    x = 277,223,870.08/14,186.31
  6. Step 6: Final answer
    x = 19,541.65

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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.