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Finding the Fourth Proportional to 14,311.65, 19,750.59 and 8,342.36

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Solution

The fourth proportional to 14,311.65, 19,750.59 and 8,342.36 is: 11,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.65 : 19,750.59 = 8,342.36 : x
  2. Step 2: Convert to fraction form
    14,311.65/19,750.59 = 8,342.36/x
  3. Step 3: Cross multiply
    14,311.65x = 19,750.59 × 8,342.36
  4. Step 4: Simplify right side
    14,311.65x = 164,766,433.24
  5. Step 5: Solve for x
    x = 164,766,433.24/14,311.65
  6. Step 6: Final answer
    x = 11,512.75

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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.