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Finding the Fourth Proportional to 14,241.64, 21,314.40 and 10,164.12

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Solution

The fourth proportional to 14,241.64, 21,314.40 and 10,164.12 is: 15,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.64 : 21,314.40 = 10,164.12 : x
  2. Step 2: Convert to fraction form
    14,241.64/21,314.40 = 10,164.12/x
  3. Step 3: Cross multiply
    14,241.64x = 21,314.40 × 10,164.12
  4. Step 4: Simplify right side
    14,241.64x = 216,642,119.33
  5. Step 5: Solve for x
    x = 216,642,119.33/14,241.64
  6. Step 6: Final answer
    x = 15,211.88

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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.