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Finding the Fourth Proportional to 14,103.96, 21,156.06 and 6,709.14

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Solution

The fourth proportional to 14,103.96, 21,156.06 and 6,709.14 is: 10,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.96 : 21,156.06 = 6,709.14 : x
  2. Step 2: Convert to fraction form
    14,103.96/21,156.06 = 6,709.14/x
  3. Step 3: Cross multiply
    14,103.96x = 21,156.06 × 6,709.14
  4. Step 4: Simplify right side
    14,103.96x = 141,938,968.39
  5. Step 5: Solve for x
    x = 141,938,968.39/14,103.96
  6. Step 6: Final answer
    x = 10,063.77

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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.