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Finding the Fourth Proportional to 14,283.92, 21,428.32 and 6,493.34

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Solution

The fourth proportional to 14,283.92, 21,428.32 and 6,493.34 is: 9,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.92 : 21,428.32 = 6,493.34 : x
  2. Step 2: Convert to fraction form
    14,283.92/21,428.32 = 6,493.34/x
  3. Step 3: Cross multiply
    14,283.92x = 21,428.32 × 6,493.34
  4. Step 4: Simplify right side
    14,283.92x = 139,141,367.39
  5. Step 5: Solve for x
    x = 139,141,367.39/14,283.92
  6. Step 6: Final answer
    x = 9,741.12

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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.