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Finding the Fourth Proportional to 14,076.57, 19,422.75 and 8,106.67

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Solution

The fourth proportional to 14,076.57, 19,422.75 and 8,106.67 is: 11,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.57 : 19,422.75 = 8,106.67 : x
  2. Step 2: Convert to fraction form
    14,076.57/19,422.75 = 8,106.67/x
  3. Step 3: Cross multiply
    14,076.57x = 19,422.75 × 8,106.67
  4. Step 4: Simplify right side
    14,076.57x = 157,453,824.74
  5. Step 5: Solve for x
    x = 157,453,824.74/14,076.57
  6. Step 6: Final answer
    x = 11,185.52

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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.