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Finding the Fourth Proportional to 14,102.76, 21,164.74 and 9,649.78

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Solution

The fourth proportional to 14,102.76, 21,164.74 and 9,649.78 is: 14,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.76 : 21,164.74 = 9,649.78 : x
  2. Step 2: Convert to fraction form
    14,102.76/21,164.74 = 9,649.78/x
  3. Step 3: Cross multiply
    14,102.76x = 21,164.74 × 9,649.78
  4. Step 4: Simplify right side
    14,102.76x = 204,235,084.76
  5. Step 5: Solve for x
    x = 204,235,084.76/14,102.76
  6. Step 6: Final answer
    x = 14,481.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.