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Finding the Fourth Proportional to 14,475.37, 19,974.32 and 8,102.31

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Solution

The fourth proportional to 14,475.37, 19,974.32 and 8,102.31 is: 11,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.37 : 19,974.32 = 8,102.31 : x
  2. Step 2: Convert to fraction form
    14,475.37/19,974.32 = 8,102.31/x
  3. Step 3: Cross multiply
    14,475.37x = 19,974.32 × 8,102.31
  4. Step 4: Simplify right side
    14,475.37x = 161,838,152.93
  5. Step 5: Solve for x
    x = 161,838,152.93/14,475.37
  6. Step 6: Final answer
    x = 11,180.25

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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.