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Finding the Fourth Proportional to 14,112.56, 19,470.48 and 8,144.12

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Solution

The fourth proportional to 14,112.56, 19,470.48 and 8,144.12 is: 11,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.56 : 19,470.48 = 8,144.12 : x
  2. Step 2: Convert to fraction form
    14,112.56/19,470.48 = 8,144.12/x
  3. Step 3: Cross multiply
    14,112.56x = 19,470.48 × 8,144.12
  4. Step 4: Simplify right side
    14,112.56x = 158,569,925.58
  5. Step 5: Solve for x
    x = 158,569,925.58/14,112.56
  6. Step 6: Final answer
    x = 11,236.09

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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.