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Finding the Fourth Proportional to 14,096.84, 21,154.37 and 6,709.64

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Solution

The fourth proportional to 14,096.84, 21,154.37 and 6,709.64 is: 10,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.84 : 21,154.37 = 6,709.64 : x
  2. Step 2: Convert to fraction form
    14,096.84/21,154.37 = 6,709.64/x
  3. Step 3: Cross multiply
    14,096.84x = 21,154.37 × 6,709.64
  4. Step 4: Simplify right side
    14,096.84x = 141,938,067.81
  5. Step 5: Solve for x
    x = 141,938,067.81/14,096.84
  6. Step 6: Final answer
    x = 10,068.79

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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.