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Finding the Fourth Proportional to 14,414.96, 21,615.06 and 6,617

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Solution

The fourth proportional to 14,414.96, 21,615.06 and 6,617 is: 9,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.96 : 21,615.06 = 6,617 : x
  2. Step 2: Convert to fraction form
    14,414.96/21,615.06 = 6,617/x
  3. Step 3: Cross multiply
    14,414.96x = 21,615.06 × 6,617
  4. Step 4: Simplify right side
    14,414.96x = 143,026,852.02
  5. Step 5: Solve for x
    x = 143,026,852.02/14,414.96
  6. Step 6: Final answer
    x = 9,922.11

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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.