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Finding the Fourth Proportional to 14,474.40, 19,975.74 and 8,101.63

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Solution

The fourth proportional to 14,474.40, 19,975.74 and 8,101.63 is: 11,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.40 : 19,975.74 = 8,101.63 : x
  2. Step 2: Convert to fraction form
    14,474.40/19,975.74 = 8,101.63/x
  3. Step 3: Cross multiply
    14,474.40x = 19,975.74 × 8,101.63
  4. Step 4: Simplify right side
    14,474.40x = 161,836,054.46
  5. Step 5: Solve for x
    x = 161,836,054.46/14,474.40
  6. Step 6: Final answer
    x = 11,180.85

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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.